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Finding the Third Proportional to 11,716 and 24,791

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Solution

The third proportional to 11,716 and 24,791 is: 52,457.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,716 : 24,791 = 24,791 : x
  2. Step 2: Convert to fraction form
    11,716/24,791 = 24,791/x
  3. Step 3: Cross multiply
    11,716x = 24,791 × 24,791
  4. Step 4: Simplify right side
    11,716x = 614,593,681
  5. Step 5: Solve for x
    x = 614,593,681/11,716
  6. Step 6: Final answer
    x = 52,457.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.