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Finding the Third Proportional to 4,001.06 and 5,415.19

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Solution

The third proportional to 4,001.06 and 5,415.19 is: 7,329.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,001.06 : 5,415.19 = 5,415.19 : x
  2. Step 2: Convert to fraction form
    4,001.06/5,415.19 = 5,415.19/x
  3. Step 3: Cross multiply
    4,001.06x = 5,415.19 × 5,415.19
  4. Step 4: Simplify right side
    4,001.06x = 29,324,255.66
  5. Step 5: Solve for x
    x = 29,324,255.66/4,001.06
  6. Step 6: Final answer
    x = 7,329.12

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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.