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Finding the Third Proportional to 31,240.69 and 49,686.75

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Solution

The third proportional to 31,240.69 and 49,686.75 is: 79,024.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,240.69 : 49,686.75 = 49,686.75 : x
  2. Step 2: Convert to fraction form
    31,240.69/49,686.75 = 49,686.75/x
  3. Step 3: Cross multiply
    31,240.69x = 49,686.75 × 49,686.75
  4. Step 4: Simplify right side
    31,240.69x = 2,468,773,125.56
  5. Step 5: Solve for x
    x = 2,468,773,125.56/31,240.69
  6. Step 6: Final answer
    x = 79,024.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.