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Finding the Third Proportional to 1,327.13 and 2,812.38

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Solution

The third proportional to 1,327.13 and 2,812.38 is: 5,959.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.13 : 2,812.38 = 2,812.38 : x
  2. Step 2: Convert to fraction form
    1,327.13/2,812.38 = 2,812.38/x
  3. Step 3: Cross multiply
    1,327.13x = 2,812.38 × 2,812.38
  4. Step 4: Simplify right side
    1,327.13x = 7,909,453.14
  5. Step 5: Solve for x
    x = 7,909,453.14/1,327.13
  6. Step 6: Final answer
    x = 5,959.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.