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Finding the Third Proportional to 1,543.13 and 3,395.06

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Solution

The third proportional to 1,543.13 and 3,395.06 is: 7,469.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.13 : 3,395.06 = 3,395.06 : x
  2. Step 2: Convert to fraction form
    1,543.13/3,395.06 = 3,395.06/x
  3. Step 3: Cross multiply
    1,543.13x = 3,395.06 × 3,395.06
  4. Step 4: Simplify right side
    1,543.13x = 11,526,449.38
  5. Step 5: Solve for x
    x = 11,526,449.38/1,543.13
  6. Step 6: Final answer
    x = 7,469.55

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.