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Finding the Third Proportional to 3,925.97 and 5,996.53

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Solution

The third proportional to 3,925.97 and 5,996.53 is: 9,159.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,925.97 : 5,996.53 = 5,996.53 : x
  2. Step 2: Convert to fraction form
    3,925.97/5,996.53 = 5,996.53/x
  3. Step 3: Cross multiply
    3,925.97x = 5,996.53 × 5,996.53
  4. Step 4: Simplify right side
    3,925.97x = 35,958,387.03
  5. Step 5: Solve for x
    x = 35,958,387.03/3,925.97
  6. Step 6: Final answer
    x = 9,159.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.