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Finding the Third Proportional to 24,520 and 52,927

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Solution

The third proportional to 24,520 and 52,927 is: 114,244.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,520 : 52,927 = 52,927 : x
  2. Step 2: Convert to fraction form
    24,520/52,927 = 52,927/x
  3. Step 3: Cross multiply
    24,520x = 52,927 × 52,927
  4. Step 4: Simplify right side
    24,520x = 2,801,267,329
  5. Step 5: Solve for x
    x = 2,801,267,329/24,520
  6. Step 6: Final answer
    x = 114,244.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.