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Finding the Third Proportional to 29,494.13 and 42,165.56

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Solution

The third proportional to 29,494.13 and 42,165.56 is: 60,280.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,494.13 : 42,165.56 = 42,165.56 : x
  2. Step 2: Convert to fraction form
    29,494.13/42,165.56 = 42,165.56/x
  3. Step 3: Cross multiply
    29,494.13x = 42,165.56 × 42,165.56
  4. Step 4: Simplify right side
    29,494.13x = 1,777,934,660.94
  5. Step 5: Solve for x
    x = 1,777,934,660.94/29,494.13
  6. Step 6: Final answer
    x = 60,280.98

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.