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Finding the Third Proportional to 17,612 and 38,032

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Solution

The third proportional to 17,612 and 38,032 is: 82,127.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,612 : 38,032 = 38,032 : x
  2. Step 2: Convert to fraction form
    17,612/38,032 = 38,032/x
  3. Step 3: Cross multiply
    17,612x = 38,032 × 38,032
  4. Step 4: Simplify right side
    17,612x = 1,446,433,024
  5. Step 5: Solve for x
    x = 1,446,433,024/17,612
  6. Step 6: Final answer
    x = 82,127.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.