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Finding the Third Proportional to 31,472 and 49,120

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Solution

The third proportional to 31,472 and 49,120 is: 76,664.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,472 : 49,120 = 49,120 : x
  2. Step 2: Convert to fraction form
    31,472/49,120 = 49,120/x
  3. Step 3: Cross multiply
    31,472x = 49,120 × 49,120
  4. Step 4: Simplify right side
    31,472x = 2,412,774,400
  5. Step 5: Solve for x
    x = 2,412,774,400/31,472
  6. Step 6: Final answer
    x = 76,664.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.