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Finding the Third Proportional to 8,524 and 15,964

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Solution

The third proportional to 8,524 and 15,964 is: 29,897.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524 : 15,964 = 15,964 : x
  2. Step 2: Convert to fraction form
    8,524/15,964 = 15,964/x
  3. Step 3: Cross multiply
    8,524x = 15,964 × 15,964
  4. Step 4: Simplify right side
    8,524x = 254,849,296
  5. Step 5: Solve for x
    x = 254,849,296/8,524
  6. Step 6: Final answer
    x = 29,897.85

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.