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Finding the Third Proportional to 2,536.13 and 3,561

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Solution

The third proportional to 2,536.13 and 3,561 is: 5,000.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.13 : 3,561 = 3,561 : x
  2. Step 2: Convert to fraction form
    2,536.13/3,561 = 3,561/x
  3. Step 3: Cross multiply
    2,536.13x = 3,561 × 3,561
  4. Step 4: Simplify right side
    2,536.13x = 12,680,721
  5. Step 5: Solve for x
    x = 12,680,721/2,536.13
  6. Step 6: Final answer
    x = 5,000.04

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.