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Finding the Third Proportional to 22,348 and 55,102

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Solution

The third proportional to 22,348 and 55,102 is: 135,861.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,348 : 55,102 = 55,102 : x
  2. Step 2: Convert to fraction form
    22,348/55,102 = 55,102/x
  3. Step 3: Cross multiply
    22,348x = 55,102 × 55,102
  4. Step 4: Simplify right side
    22,348x = 3,036,230,404
  5. Step 5: Solve for x
    x = 3,036,230,404/22,348
  6. Step 6: Final answer
    x = 135,861.39

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.