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Finding the Third Proportional to 22,098 and 33,468

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Solution

The third proportional to 22,098 and 33,468 is: 50,688.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,098 : 33,468 = 33,468 : x
  2. Step 2: Convert to fraction form
    22,098/33,468 = 33,468/x
  3. Step 3: Cross multiply
    22,098x = 33,468 × 33,468
  4. Step 4: Simplify right side
    22,098x = 1,120,107,024
  5. Step 5: Solve for x
    x = 1,120,107,024/22,098
  6. Step 6: Final answer
    x = 50,688.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.