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Finding the Third Proportional to 34,267 and 54,680.50

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Solution

The third proportional to 34,267 and 54,680.50 is: 87,254.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,267 : 54,680.50 = 54,680.50 : x
  2. Step 2: Convert to fraction form
    34,267/54,680.50 = 54,680.50/x
  3. Step 3: Cross multiply
    34,267x = 54,680.50 × 54,680.50
  4. Step 4: Simplify right side
    34,267x = 2,989,957,080.25
  5. Step 5: Solve for x
    x = 2,989,957,080.25/34,267
  6. Step 6: Final answer
    x = 87,254.71

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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.