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Finding the Third Proportional to 39,614 and 59,429.50

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Solution

The third proportional to 39,614 and 59,429.50 is: 89,157.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,614 : 59,429.50 = 59,429.50 : x
  2. Step 2: Convert to fraction form
    39,614/59,429.50 = 59,429.50/x
  3. Step 3: Cross multiply
    39,614x = 59,429.50 × 59,429.50
  4. Step 4: Simplify right side
    39,614x = 3,531,865,470.25
  5. Step 5: Solve for x
    x = 3,531,865,470.25/39,614
  6. Step 6: Final answer
    x = 89,157.00

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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.