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Finding the Third Proportional to 5,986.13 and 12,729.38

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Solution

The third proportional to 5,986.13 and 12,729.38 is: 27,068.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,986.13 : 12,729.38 = 12,729.38 : x
  2. Step 2: Convert to fraction form
    5,986.13/12,729.38 = 12,729.38/x
  3. Step 3: Cross multiply
    5,986.13x = 12,729.38 × 12,729.38
  4. Step 4: Simplify right side
    5,986.13x = 162,036,987.89
  5. Step 5: Solve for x
    x = 162,036,987.89/5,986.13
  6. Step 6: Final answer
    x = 27,068.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.