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Finding the Third Proportional to 10,782 and 15,597

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Solution

The third proportional to 10,782 and 15,597 is: 22,562.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782 : 15,597 = 15,597 : x
  2. Step 2: Convert to fraction form
    10,782/15,597 = 15,597/x
  3. Step 3: Cross multiply
    10,782x = 15,597 × 15,597
  4. Step 4: Simplify right side
    10,782x = 243,266,409
  5. Step 5: Solve for x
    x = 243,266,409/10,782
  6. Step 6: Final answer
    x = 22,562.27

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.