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Finding the Third Proportional to 17,760 and 29,597

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Solution

The third proportional to 17,760 and 29,597 is: 49,323.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,760 : 29,597 = 29,597 : x
  2. Step 2: Convert to fraction form
    17,760/29,597 = 29,597/x
  3. Step 3: Cross multiply
    17,760x = 29,597 × 29,597
  4. Step 4: Simplify right side
    17,760x = 875,982,409
  5. Step 5: Solve for x
    x = 875,982,409/17,760
  6. Step 6: Final answer
    x = 49,323.33

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.