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Finding the Third Proportional to 34,012 and 52,792

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Solution

The third proportional to 34,012 and 52,792 is: 81,941.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,012 : 52,792 = 52,792 : x
  2. Step 2: Convert to fraction form
    34,012/52,792 = 52,792/x
  3. Step 3: Cross multiply
    34,012x = 52,792 × 52,792
  4. Step 4: Simplify right side
    34,012x = 2,786,995,264
  5. Step 5: Solve for x
    x = 2,786,995,264/34,012
  6. Step 6: Final answer
    x = 81,941.53

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.