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Finding the Third Proportional to 6,865.88 and 10,271.81

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Solution

The third proportional to 6,865.88 and 10,271.81 is: 15,367.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,865.88 : 10,271.81 = 10,271.81 : x
  2. Step 2: Convert to fraction form
    6,865.88/10,271.81 = 10,271.81/x
  3. Step 3: Cross multiply
    6,865.88x = 10,271.81 × 10,271.81
  4. Step 4: Simplify right side
    6,865.88x = 105,510,132.04
  5. Step 5: Solve for x
    x = 105,510,132.04/6,865.88
  6. Step 6: Final answer
    x = 15,367.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.