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Finding the Third Proportional to 16,286 and 24,566

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Solution

The third proportional to 16,286 and 24,566 is: 37,055.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,286 : 24,566 = 24,566 : x
  2. Step 2: Convert to fraction form
    16,286/24,566 = 24,566/x
  3. Step 3: Cross multiply
    16,286x = 24,566 × 24,566
  4. Step 4: Simplify right side
    16,286x = 603,488,356
  5. Step 5: Solve for x
    x = 603,488,356/16,286
  6. Step 6: Final answer
    x = 37,055.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.