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Finding the Third Proportional to 6,753.90 and 10,851.68

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Solution

The third proportional to 6,753.90 and 10,851.68 is: 17,435.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,753.90 : 10,851.68 = 10,851.68 : x
  2. Step 2: Convert to fraction form
    6,753.90/10,851.68 = 10,851.68/x
  3. Step 3: Cross multiply
    6,753.90x = 10,851.68 × 10,851.68
  4. Step 4: Simplify right side
    6,753.90x = 117,758,952.04
  5. Step 5: Solve for x
    x = 117,758,952.04/6,753.90
  6. Step 6: Final answer
    x = 17,435.69

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.