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Finding the Third Proportional to 5,782 and 9,217

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Solution

The third proportional to 5,782 and 9,217 is: 14,692.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782 : 9,217 = 9,217 : x
  2. Step 2: Convert to fraction form
    5,782/9,217 = 9,217/x
  3. Step 3: Cross multiply
    5,782x = 9,217 × 9,217
  4. Step 4: Simplify right side
    5,782x = 84,953,089
  5. Step 5: Solve for x
    x = 84,953,089/5,782
  6. Step 6: Final answer
    x = 14,692.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.