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Finding the Third Proportional to 42,409.13 and 63,709.88

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Solution

The third proportional to 42,409.13 and 63,709.88 is: 95,709.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,409.13 : 63,709.88 = 63,709.88 : x
  2. Step 2: Convert to fraction form
    42,409.13/63,709.88 = 63,709.88/x
  3. Step 3: Cross multiply
    42,409.13x = 63,709.88 × 63,709.88
  4. Step 4: Simplify right side
    42,409.13x = 4,058,948,172.52
  5. Step 5: Solve for x
    x = 4,058,948,172.52/42,409.13
  6. Step 6: Final answer
    x = 95,709.31

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