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Finding the Third Proportional to 11,098 and 24,548

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Solution

The third proportional to 11,098 and 24,548 is: 54,298.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,098 : 24,548 = 24,548 : x
  2. Step 2: Convert to fraction form
    11,098/24,548 = 24,548/x
  3. Step 3: Cross multiply
    11,098x = 24,548 × 24,548
  4. Step 4: Simplify right side
    11,098x = 602,604,304
  5. Step 5: Solve for x
    x = 602,604,304/11,098
  6. Step 6: Final answer
    x = 54,298.46

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.