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Finding the Third Proportional to 1,543.22 and 3,008.81

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Solution

The third proportional to 1,543.22 and 3,008.81 is: 5,866.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.22 : 3,008.81 = 3,008.81 : x
  2. Step 2: Convert to fraction form
    1,543.22/3,008.81 = 3,008.81/x
  3. Step 3: Cross multiply
    1,543.22x = 3,008.81 × 3,008.81
  4. Step 4: Simplify right side
    1,543.22x = 9,052,952.66
  5. Step 5: Solve for x
    x = 9,052,952.66/1,543.22
  6. Step 6: Final answer
    x = 5,866.28

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.