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Finding the Third Proportional to 24,248 and 52,952

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Solution

The third proportional to 24,248 and 52,952 is: 115,634.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,248 : 52,952 = 52,952 : x
  2. Step 2: Convert to fraction form
    24,248/52,952 = 52,952/x
  3. Step 3: Cross multiply
    24,248x = 52,952 × 52,952
  4. Step 4: Simplify right side
    24,248x = 2,803,914,304
  5. Step 5: Solve for x
    x = 2,803,914,304/24,248
  6. Step 6: Final answer
    x = 115,634.87

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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.