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Finding the Third Proportional to 1,566.44 and 3,642.31

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Solution

The third proportional to 1,566.44 and 3,642.31 is: 8,469.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.44 : 3,642.31 = 3,642.31 : x
  2. Step 2: Convert to fraction form
    1,566.44/3,642.31 = 3,642.31/x
  3. Step 3: Cross multiply
    1,566.44x = 3,642.31 × 3,642.31
  4. Step 4: Simplify right side
    1,566.44x = 13,266,440.35
  5. Step 5: Solve for x
    x = 13,266,440.35/1,566.44
  6. Step 6: Final answer
    x = 8,469.18

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.