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Finding the Third Proportional to 42,193.50 and 63,614.25

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Solution

The third proportional to 42,193.50 and 63,614.25 is: 95,909.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,193.50 : 63,614.25 = 63,614.25 : x
  2. Step 2: Convert to fraction form
    42,193.50/63,614.25 = 63,614.25/x
  3. Step 3: Cross multiply
    42,193.50x = 63,614.25 × 63,614.25
  4. Step 4: Simplify right side
    42,193.50x = 4,046,772,803.06
  5. Step 5: Solve for x
    x = 4,046,772,803.06/42,193.50
  6. Step 6: Final answer
    x = 95,909.86

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.