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Finding the Third Proportional to 3,174.75 and 6,566.34

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Solution

The third proportional to 3,174.75 and 6,566.34 is: 13,581.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.75 : 6,566.34 = 6,566.34 : x
  2. Step 2: Convert to fraction form
    3,174.75/6,566.34 = 6,566.34/x
  3. Step 3: Cross multiply
    3,174.75x = 6,566.34 × 6,566.34
  4. Step 4: Simplify right side
    3,174.75x = 43,116,870.24
  5. Step 5: Solve for x
    x = 43,116,870.24/3,174.75
  6. Step 6: Final answer
    x = 13,581.19

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.