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Finding the Third Proportional to 1,171.13 and 3,165.75

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Solution

The third proportional to 1,171.13 and 3,165.75 is: 8,557.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.13 : 3,165.75 = 3,165.75 : x
  2. Step 2: Convert to fraction form
    1,171.13/3,165.75 = 3,165.75/x
  3. Step 3: Cross multiply
    1,171.13x = 3,165.75 × 3,165.75
  4. Step 4: Simplify right side
    1,171.13x = 10,021,973.06
  5. Step 5: Solve for x
    x = 10,021,973.06/1,171.13
  6. Step 6: Final answer
    x = 8,557.56

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.