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Finding the Third Proportional to 8,782 and 14,427

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Solution

The third proportional to 8,782 and 14,427 is: 23,700.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,782 : 14,427 = 14,427 : x
  2. Step 2: Convert to fraction form
    8,782/14,427 = 14,427/x
  3. Step 3: Cross multiply
    8,782x = 14,427 × 14,427
  4. Step 4: Simplify right side
    8,782x = 208,138,329
  5. Step 5: Solve for x
    x = 208,138,329/8,782
  6. Step 6: Final answer
    x = 23,700.56

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.