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Finding the Third Proportional to 24,585 and 52,446

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Solution

The third proportional to 24,585 and 52,446 is: 111,880.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,585 : 52,446 = 52,446 : x
  2. Step 2: Convert to fraction form
    24,585/52,446 = 52,446/x
  3. Step 3: Cross multiply
    24,585x = 52,446 × 52,446
  4. Step 4: Simplify right side
    24,585x = 2,750,582,916
  5. Step 5: Solve for x
    x = 2,750,582,916/24,585
  6. Step 6: Final answer
    x = 111,880.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.