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Finding the Third Proportional to 3,543.75 and 5,214.38

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Solution

The third proportional to 3,543.75 and 5,214.38 is: 7,672.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.75 : 5,214.38 = 5,214.38 : x
  2. Step 2: Convert to fraction form
    3,543.75/5,214.38 = 5,214.38/x
  3. Step 3: Cross multiply
    3,543.75x = 5,214.38 × 5,214.38
  4. Step 4: Simplify right side
    3,543.75x = 27,189,706.64
  5. Step 5: Solve for x
    x = 27,189,706.64/3,543.75
  6. Step 6: Final answer
    x = 7,672.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.