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Finding the Third Proportional to 12,566 and 24,814

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Solution

The third proportional to 12,566 and 24,814 is: 49,000.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,566 : 24,814 = 24,814 : x
  2. Step 2: Convert to fraction form
    12,566/24,814 = 24,814/x
  3. Step 3: Cross multiply
    12,566x = 24,814 × 24,814
  4. Step 4: Simplify right side
    12,566x = 615,734,596
  5. Step 5: Solve for x
    x = 615,734,596/12,566
  6. Step 6: Final answer
    x = 49,000.05

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.