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Finding the Third Proportional to 5,986.41 and 9,062.72

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Solution

The third proportional to 5,986.41 and 9,062.72 is: 13,719.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,986.41 : 9,062.72 = 9,062.72 : x
  2. Step 2: Convert to fraction form
    5,986.41/9,062.72 = 9,062.72/x
  3. Step 3: Cross multiply
    5,986.41x = 9,062.72 × 9,062.72
  4. Step 4: Simplify right side
    5,986.41x = 82,132,871.14
  5. Step 5: Solve for x
    x = 82,132,871.14/5,986.41
  6. Step 6: Final answer
    x = 13,719.90

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.