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Finding the Third Proportional to 5,022 and 7,387

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Solution

The third proportional to 5,022 and 7,387 is: 10,865.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,022 : 7,387 = 7,387 : x
  2. Step 2: Convert to fraction form
    5,022/7,387 = 7,387/x
  3. Step 3: Cross multiply
    5,022x = 7,387 × 7,387
  4. Step 4: Simplify right side
    5,022x = 54,567,769
  5. Step 5: Solve for x
    x = 54,567,769/5,022
  6. Step 6: Final answer
    x = 10,865.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.