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Finding the Third Proportional to 1,206.75 and 2,610.38

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Solution

The third proportional to 1,206.75 and 2,610.38 is: 5,646.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.75 : 2,610.38 = 2,610.38 : x
  2. Step 2: Convert to fraction form
    1,206.75/2,610.38 = 2,610.38/x
  3. Step 3: Cross multiply
    1,206.75x = 2,610.38 × 2,610.38
  4. Step 4: Simplify right side
    1,206.75x = 6,814,057.64
  5. Step 5: Solve for x
    x = 6,814,057.64/1,206.75
  6. Step 6: Final answer
    x = 5,646.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.