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Finding the Third Proportional to 21,600 and 34,344

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Solution

The third proportional to 21,600 and 34,344 is: 54,606.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,600 : 34,344 = 34,344 : x
  2. Step 2: Convert to fraction form
    21,600/34,344 = 34,344/x
  3. Step 3: Cross multiply
    21,600x = 34,344 × 34,344
  4. Step 4: Simplify right side
    21,600x = 1,179,510,336
  5. Step 5: Solve for x
    x = 1,179,510,336/21,600
  6. Step 6: Final answer
    x = 54,606.96

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.