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Finding the Third Proportional to 39,561.75 and 93,331.13

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Solution

The third proportional to 39,561.75 and 93,331.13 is: 220,179.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,561.75 : 93,331.13 = 93,331.13 : x
  2. Step 2: Convert to fraction form
    39,561.75/93,331.13 = 93,331.13/x
  3. Step 3: Cross multiply
    39,561.75x = 93,331.13 × 93,331.13
  4. Step 4: Simplify right side
    39,561.75x = 8,710,698,893.77
  5. Step 5: Solve for x
    x = 8,710,698,893.77/39,561.75
  6. Step 6: Final answer
    x = 220,179.82

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.