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Finding the Third Proportional to 34,022 and 48,387

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Solution

The third proportional to 34,022 and 48,387 is: 68,817.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,022 : 48,387 = 48,387 : x
  2. Step 2: Convert to fraction form
    34,022/48,387 = 48,387/x
  3. Step 3: Cross multiply
    34,022x = 48,387 × 48,387
  4. Step 4: Simplify right side
    34,022x = 2,341,301,769
  5. Step 5: Solve for x
    x = 2,341,301,769/34,022
  6. Step 6: Final answer
    x = 68,817.29

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.