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Finding the Third Proportional to 34,670 and 52,250

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Solution

The third proportional to 34,670 and 52,250 is: 78,744.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,670 : 52,250 = 52,250 : x
  2. Step 2: Convert to fraction form
    34,670/52,250 = 52,250/x
  3. Step 3: Cross multiply
    34,670x = 52,250 × 52,250
  4. Step 4: Simplify right side
    34,670x = 2,730,062,500
  5. Step 5: Solve for x
    x = 2,730,062,500/34,670
  6. Step 6: Final answer
    x = 78,744.23

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.