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Finding the Third Proportional to 2,560.99 and 5,636.46

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Solution

The third proportional to 2,560.99 and 5,636.46 is: 12,405.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.99 : 5,636.46 = 5,636.46 : x
  2. Step 2: Convert to fraction form
    2,560.99/5,636.46 = 5,636.46/x
  3. Step 3: Cross multiply
    2,560.99x = 5,636.46 × 5,636.46
  4. Step 4: Simplify right side
    2,560.99x = 31,769,691.90
  5. Step 5: Solve for x
    x = 31,769,691.90/2,560.99
  6. Step 6: Final answer
    x = 12,405.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.