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Finding the Third Proportional to 2,727 and 5,971.88

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Solution

The third proportional to 2,727 and 5,971.88 is: 13,077.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727 : 5,971.88 = 5,971.88 : x
  2. Step 2: Convert to fraction form
    2,727/5,971.88 = 5,971.88/x
  3. Step 3: Cross multiply
    2,727x = 5,971.88 × 5,971.88
  4. Step 4: Simplify right side
    2,727x = 35,663,291.02
  5. Step 5: Solve for x
    x = 35,663,291.02/2,727
  6. Step 6: Final answer
    x = 13,077.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.