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Finding the Third Proportional to 34,967.25 and 52,741

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Solution

The third proportional to 34,967.25 and 52,741 is: 79,549.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,967.25 : 52,741 = 52,741 : x
  2. Step 2: Convert to fraction form
    34,967.25/52,741 = 52,741/x
  3. Step 3: Cross multiply
    34,967.25x = 52,741 × 52,741
  4. Step 4: Simplify right side
    34,967.25x = 2,781,613,081
  5. Step 5: Solve for x
    x = 2,781,613,081/34,967.25
  6. Step 6: Final answer
    x = 79,549.09

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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.