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Finding the Third Proportional to 1,543.22 and 3,291.47

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Solution

The third proportional to 1,543.22 and 3,291.47 is: 7,020.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.22 : 3,291.47 = 3,291.47 : x
  2. Step 2: Convert to fraction form
    1,543.22/3,291.47 = 3,291.47/x
  3. Step 3: Cross multiply
    1,543.22x = 3,291.47 × 3,291.47
  4. Step 4: Simplify right side
    1,543.22x = 10,833,766.53
  5. Step 5: Solve for x
    x = 10,833,766.53/1,543.22
  6. Step 6: Final answer
    x = 7,020.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.