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Finding the Third Proportional to 22,998 and 49,452

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Solution

The third proportional to 22,998 and 49,452 is: 106,335.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,998 : 49,452 = 49,452 : x
  2. Step 2: Convert to fraction form
    22,998/49,452 = 49,452/x
  3. Step 3: Cross multiply
    22,998x = 49,452 × 49,452
  4. Step 4: Simplify right side
    22,998x = 2,445,500,304
  5. Step 5: Solve for x
    x = 2,445,500,304/22,998
  6. Step 6: Final answer
    x = 106,335.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.