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Finding the Third Proportional to 24,282 and 49,455

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Solution

The third proportional to 24,282 and 49,455 is: 100,724.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,282 : 49,455 = 49,455 : x
  2. Step 2: Convert to fraction form
    24,282/49,455 = 49,455/x
  3. Step 3: Cross multiply
    24,282x = 49,455 × 49,455
  4. Step 4: Simplify right side
    24,282x = 2,445,797,025
  5. Step 5: Solve for x
    x = 2,445,797,025/24,282
  6. Step 6: Final answer
    x = 100,724.69

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.