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Finding the Third Proportional to 24,544 and 52,536

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Solution

The third proportional to 24,544 and 52,536 is: 112,452.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,544 : 52,536 = 52,536 : x
  2. Step 2: Convert to fraction form
    24,544/52,536 = 52,536/x
  3. Step 3: Cross multiply
    24,544x = 52,536 × 52,536
  4. Step 4: Simplify right side
    24,544x = 2,760,031,296
  5. Step 5: Solve for x
    x = 2,760,031,296/24,544
  6. Step 6: Final answer
    x = 112,452.38

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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.