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Finding the Third Proportional to 24,107 and 52,498

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Solution

The third proportional to 24,107 and 52,498 is: 114,325.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,107 : 52,498 = 52,498 : x
  2. Step 2: Convert to fraction form
    24,107/52,498 = 52,498/x
  3. Step 3: Cross multiply
    24,107x = 52,498 × 52,498
  4. Step 4: Simplify right side
    24,107x = 2,756,040,004
  5. Step 5: Solve for x
    x = 2,756,040,004/24,107
  6. Step 6: Final answer
    x = 114,325.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.