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Finding the Third Proportional to 4,066.31 and 5,945.06

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Solution

The third proportional to 4,066.31 and 5,945.06 is: 8,691.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,066.31 : 5,945.06 = 5,945.06 : x
  2. Step 2: Convert to fraction form
    4,066.31/5,945.06 = 5,945.06/x
  3. Step 3: Cross multiply
    4,066.31x = 5,945.06 × 5,945.06
  4. Step 4: Simplify right side
    4,066.31x = 35,343,768.13
  5. Step 5: Solve for x
    x = 35,343,768.13/4,066.31
  6. Step 6: Final answer
    x = 8,691.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.