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Finding the Third Proportional to 24,460 and 52,376

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Solution

The third proportional to 24,460 and 52,376 is: 112,152.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,460 : 52,376 = 52,376 : x
  2. Step 2: Convert to fraction form
    24,460/52,376 = 52,376/x
  3. Step 3: Cross multiply
    24,460x = 52,376 × 52,376
  4. Step 4: Simplify right side
    24,460x = 2,743,245,376
  5. Step 5: Solve for x
    x = 2,743,245,376/24,460
  6. Step 6: Final answer
    x = 112,152.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.