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Finding the Third Proportional to 3,943.69 and 6,064.03

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Solution

The third proportional to 3,943.69 and 6,064.03 is: 9,324.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,943.69 : 6,064.03 = 6,064.03 : x
  2. Step 2: Convert to fraction form
    3,943.69/6,064.03 = 6,064.03/x
  3. Step 3: Cross multiply
    3,943.69x = 6,064.03 × 6,064.03
  4. Step 4: Simplify right side
    3,943.69x = 36,772,475.00
  5. Step 5: Solve for x
    x = 36,772,475.00/3,943.69
  6. Step 6: Final answer
    x = 9,324.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.