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Finding the Third Proportional to 3,610.13 and 4,715.44

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Solution

The third proportional to 3,610.13 and 4,715.44 is: 6,159.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,610.13 : 4,715.44 = 4,715.44 : x
  2. Step 2: Convert to fraction form
    3,610.13/4,715.44 = 4,715.44/x
  3. Step 3: Cross multiply
    3,610.13x = 4,715.44 × 4,715.44
  4. Step 4: Simplify right side
    3,610.13x = 22,235,350.82
  5. Step 5: Solve for x
    x = 22,235,350.82/3,610.13
  6. Step 6: Final answer
    x = 6,159.16

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.