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Finding the Third Proportional to 1,174.08 and 2,761.17

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Solution

The third proportional to 1,174.08 and 2,761.17 is: 6,493.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.08 : 2,761.17 = 2,761.17 : x
  2. Step 2: Convert to fraction form
    1,174.08/2,761.17 = 2,761.17/x
  3. Step 3: Cross multiply
    1,174.08x = 2,761.17 × 2,761.17
  4. Step 4: Simplify right side
    1,174.08x = 7,624,070.12
  5. Step 5: Solve for x
    x = 7,624,070.12/1,174.08
  6. Step 6: Final answer
    x = 6,493.67

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.