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Finding the Third Proportional to 3,732 and 9,142

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Solution

The third proportional to 3,732 and 9,142 is: 22,394.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,732 : 9,142 = 9,142 : x
  2. Step 2: Convert to fraction form
    3,732/9,142 = 9,142/x
  3. Step 3: Cross multiply
    3,732x = 9,142 × 9,142
  4. Step 4: Simplify right side
    3,732x = 83,576,164
  5. Step 5: Solve for x
    x = 83,576,164/3,732
  6. Step 6: Final answer
    x = 22,394.47

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.