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Finding the Third Proportional to 42,327 and 56,187

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Solution

The third proportional to 42,327 and 56,187 is: 74,585.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,327 : 56,187 = 56,187 : x
  2. Step 2: Convert to fraction form
    42,327/56,187 = 56,187/x
  3. Step 3: Cross multiply
    42,327x = 56,187 × 56,187
  4. Step 4: Simplify right side
    42,327x = 3,156,978,969
  5. Step 5: Solve for x
    x = 3,156,978,969/42,327
  6. Step 6: Final answer
    x = 74,585.46

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.