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Finding the Third Proportional to 24,498 and 52,202

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Solution

The third proportional to 24,498 and 52,202 is: 111,235.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,498 : 52,202 = 52,202 : x
  2. Step 2: Convert to fraction form
    24,498/52,202 = 52,202/x
  3. Step 3: Cross multiply
    24,498x = 52,202 × 52,202
  4. Step 4: Simplify right side
    24,498x = 2,725,048,804
  5. Step 5: Solve for x
    x = 2,725,048,804/24,498
  6. Step 6: Final answer
    x = 111,235.56

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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.