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Finding the Third Proportional to 42,022.13 and 63,191.81

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Solution

The third proportional to 42,022.13 and 63,191.81 is: 95,026.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,022.13 : 63,191.81 = 63,191.81 : x
  2. Step 2: Convert to fraction form
    42,022.13/63,191.81 = 63,191.81/x
  3. Step 3: Cross multiply
    42,022.13x = 63,191.81 × 63,191.81
  4. Step 4: Simplify right side
    42,022.13x = 3,993,205,167.04
  5. Step 5: Solve for x
    x = 3,993,205,167.04/42,022.13
  6. Step 6: Final answer
    x = 95,026.26

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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.