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Finding the Third Proportional to 42,724 and 67,018

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Solution

The third proportional to 42,724 and 67,018 is: 105,126.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,724 : 67,018 = 67,018 : x
  2. Step 2: Convert to fraction form
    42,724/67,018 = 67,018/x
  3. Step 3: Cross multiply
    42,724x = 67,018 × 67,018
  4. Step 4: Simplify right side
    42,724x = 4,491,412,324
  5. Step 5: Solve for x
    x = 4,491,412,324/42,724
  6. Step 6: Final answer
    x = 105,126.21

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.