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Finding the Third Proportional to 21,766 and 34,594

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Solution

The third proportional to 21,766 and 34,594 is: 54,982.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,766 : 34,594 = 34,594 : x
  2. Step 2: Convert to fraction form
    21,766/34,594 = 34,594/x
  3. Step 3: Cross multiply
    21,766x = 34,594 × 34,594
  4. Step 4: Simplify right side
    21,766x = 1,196,744,836
  5. Step 5: Solve for x
    x = 1,196,744,836/21,766
  6. Step 6: Final answer
    x = 54,982.30

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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.