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Finding the Third Proportional to 10,782 and 14,601

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Solution

The third proportional to 10,782 and 14,601 is: 19,772.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782 : 14,601 = 14,601 : x
  2. Step 2: Convert to fraction form
    10,782/14,601 = 14,601/x
  3. Step 3: Cross multiply
    10,782x = 14,601 × 14,601
  4. Step 4: Simplify right side
    10,782x = 213,189,201
  5. Step 5: Solve for x
    x = 213,189,201/10,782
  6. Step 6: Final answer
    x = 19,772.70

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.