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Finding the Third Proportional to 22,098 and 48,396

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Solution

The third proportional to 22,098 and 48,396 is: 105,990.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,098 : 48,396 = 48,396 : x
  2. Step 2: Convert to fraction form
    22,098/48,396 = 48,396/x
  3. Step 3: Cross multiply
    22,098x = 48,396 × 48,396
  4. Step 4: Simplify right side
    22,098x = 2,342,172,816
  5. Step 5: Solve for x
    x = 2,342,172,816/22,098
  6. Step 6: Final answer
    x = 105,990.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.