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Finding the Third Proportional to 31,998.38 and 49,366.13

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Solution

The third proportional to 31,998.38 and 49,366.13 is: 76,160.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,998.38 : 49,366.13 = 49,366.13 : x
  2. Step 2: Convert to fraction form
    31,998.38/49,366.13 = 49,366.13/x
  3. Step 3: Cross multiply
    31,998.38x = 49,366.13 × 49,366.13
  4. Step 4: Simplify right side
    31,998.38x = 2,437,014,297.52
  5. Step 5: Solve for x
    x = 2,437,014,297.52/31,998.38
  6. Step 6: Final answer
    x = 76,160.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.