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Finding the Third Proportional to 57,670 and 73,687

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Solution

The third proportional to 57,670 and 73,687 is: 94,152.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,670 : 73,687 = 73,687 : x
  2. Step 2: Convert to fraction form
    57,670/73,687 = 73,687/x
  3. Step 3: Cross multiply
    57,670x = 73,687 × 73,687
  4. Step 4: Simplify right side
    57,670x = 5,429,773,969
  5. Step 5: Solve for x
    x = 5,429,773,969/57,670
  6. Step 6: Final answer
    x = 94,152.49

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.