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Finding the Third Proportional to 3,270.38 and 5,070.94

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Solution

The third proportional to 3,270.38 and 5,070.94 is: 7,862.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270.38 : 5,070.94 = 5,070.94 : x
  2. Step 2: Convert to fraction form
    3,270.38/5,070.94 = 5,070.94/x
  3. Step 3: Cross multiply
    3,270.38x = 5,070.94 × 5,070.94
  4. Step 4: Simplify right side
    3,270.38x = 25,714,407.13
  5. Step 5: Solve for x
    x = 25,714,407.13/3,270.38
  6. Step 6: Final answer
    x = 7,862.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.