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Finding the Third Proportional to 11,716 and 24,566

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Solution

The third proportional to 11,716 and 24,566 is: 51,509.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,716 : 24,566 = 24,566 : x
  2. Step 2: Convert to fraction form
    11,716/24,566 = 24,566/x
  3. Step 3: Cross multiply
    11,716x = 24,566 × 24,566
  4. Step 4: Simplify right side
    11,716x = 603,488,356
  5. Step 5: Solve for x
    x = 603,488,356/11,716
  6. Step 6: Final answer
    x = 51,509.76

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.