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Finding the Third Proportional to 21,791 and 34,820

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Solution

The third proportional to 21,791 and 34,820 is: 55,639.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,791 : 34,820 = 34,820 : x
  2. Step 2: Convert to fraction form
    21,791/34,820 = 34,820/x
  3. Step 3: Cross multiply
    21,791x = 34,820 × 34,820
  4. Step 4: Simplify right side
    21,791x = 1,212,432,400
  5. Step 5: Solve for x
    x = 1,212,432,400/21,791
  6. Step 6: Final answer
    x = 55,639.14

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.