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Finding the Third Proportional to 2,449.13 and 5,085.56

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Solution

The third proportional to 2,449.13 and 5,085.56 is: 10,560.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.13 : 5,085.56 = 5,085.56 : x
  2. Step 2: Convert to fraction form
    2,449.13/5,085.56 = 5,085.56/x
  3. Step 3: Cross multiply
    2,449.13x = 5,085.56 × 5,085.56
  4. Step 4: Simplify right side
    2,449.13x = 25,862,945.94
  5. Step 5: Solve for x
    x = 25,862,945.94/2,449.13
  6. Step 6: Final answer
    x = 10,560.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.