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Finding the Third Proportional to 42,412.50 and 63,713.25

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Solution

The third proportional to 42,412.50 and 63,713.25 is: 95,711.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,412.50 : 63,713.25 = 63,713.25 : x
  2. Step 2: Convert to fraction form
    42,412.50/63,713.25 = 63,713.25/x
  3. Step 3: Cross multiply
    42,412.50x = 63,713.25 × 63,713.25
  4. Step 4: Simplify right side
    42,412.50x = 4,059,378,225.56
  5. Step 5: Solve for x
    x = 4,059,378,225.56/42,412.50
  6. Step 6: Final answer
    x = 95,711.84

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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.