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Finding the Third Proportional to 1,252.13 and 2,716.31

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Solution

The third proportional to 1,252.13 and 2,716.31 is: 5,892.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.13 : 2,716.31 = 2,716.31 : x
  2. Step 2: Convert to fraction form
    1,252.13/2,716.31 = 2,716.31/x
  3. Step 3: Cross multiply
    1,252.13x = 2,716.31 × 2,716.31
  4. Step 4: Simplify right side
    1,252.13x = 7,378,353.60
  5. Step 5: Solve for x
    x = 7,378,353.60/1,252.13
  6. Step 6: Final answer
    x = 5,892.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.