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Finding the Third Proportional to 8,102.53 and 10,959.05

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Solution

The third proportional to 8,102.53 and 10,959.05 is: 14,822.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.53 : 10,959.05 = 10,959.05 : x
  2. Step 2: Convert to fraction form
    8,102.53/10,959.05 = 10,959.05/x
  3. Step 3: Cross multiply
    8,102.53x = 10,959.05 × 10,959.05
  4. Step 4: Simplify right side
    8,102.53x = 120,100,708.41
  5. Step 5: Solve for x
    x = 120,100,708.41/8,102.53
  6. Step 6: Final answer
    x = 14,822.62

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.