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Finding the Third Proportional to 39,931.50 and 59,898

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Solution

The third proportional to 39,931.50 and 59,898 is: 89,848.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,931.50 : 59,898 = 59,898 : x
  2. Step 2: Convert to fraction form
    39,931.50/59,898 = 59,898/x
  3. Step 3: Cross multiply
    39,931.50x = 59,898 × 59,898
  4. Step 4: Simplify right side
    39,931.50x = 3,587,770,404
  5. Step 5: Solve for x
    x = 3,587,770,404/39,931.50
  6. Step 6: Final answer
    x = 89,848.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.