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Finding the Third Proportional to 24,474 and 52,506

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Solution

The third proportional to 24,474 and 52,506 is: 112,645.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,474 : 52,506 = 52,506 : x
  2. Step 2: Convert to fraction form
    24,474/52,506 = 52,506/x
  3. Step 3: Cross multiply
    24,474x = 52,506 × 52,506
  4. Step 4: Simplify right side
    24,474x = 2,756,880,036
  5. Step 5: Solve for x
    x = 2,756,880,036/24,474
  6. Step 6: Final answer
    x = 112,645.26

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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.