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Finding the Third Proportional to 42,892.31 and 61,877.81

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Solution

The third proportional to 42,892.31 and 61,877.81 is: 89,266.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,892.31 : 61,877.81 = 61,877.81 : x
  2. Step 2: Convert to fraction form
    42,892.31/61,877.81 = 61,877.81/x
  3. Step 3: Cross multiply
    42,892.31x = 61,877.81 × 61,877.81
  4. Step 4: Simplify right side
    42,892.31x = 3,828,863,679.79
  5. Step 5: Solve for x
    x = 3,828,863,679.79/42,892.31
  6. Step 6: Final answer
    x = 89,266.90

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.