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Finding the Third Proportional to 24,516 and 52,731

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Solution

The third proportional to 24,516 and 52,731 is: 113,418.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,516 : 52,731 = 52,731 : x
  2. Step 2: Convert to fraction form
    24,516/52,731 = 52,731/x
  3. Step 3: Cross multiply
    24,516x = 52,731 × 52,731
  4. Step 4: Simplify right side
    24,516x = 2,780,558,361
  5. Step 5: Solve for x
    x = 2,780,558,361/24,516
  6. Step 6: Final answer
    x = 113,418.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.