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Finding the Third Proportional to 21,815 and 34,599

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Solution

The third proportional to 21,815 and 34,599 is: 54,874.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,815 : 34,599 = 34,599 : x
  2. Step 2: Convert to fraction form
    21,815/34,599 = 34,599/x
  3. Step 3: Cross multiply
    21,815x = 34,599 × 34,599
  4. Step 4: Simplify right side
    21,815x = 1,197,090,801
  5. Step 5: Solve for x
    x = 1,197,090,801/21,815
  6. Step 6: Final answer
    x = 54,874.66

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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.