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Finding the Third Proportional to 16,782 and 24,686

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Solution

The third proportional to 16,782 and 24,686 is: 36,312.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,782 : 24,686 = 24,686 : x
  2. Step 2: Convert to fraction form
    16,782/24,686 = 24,686/x
  3. Step 3: Cross multiply
    16,782x = 24,686 × 24,686
  4. Step 4: Simplify right side
    16,782x = 609,398,596
  5. Step 5: Solve for x
    x = 609,398,596/16,782
  6. Step 6: Final answer
    x = 36,312.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.