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Finding the Third Proportional to 4,040.65 and 6,065.86

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Solution

The third proportional to 4,040.65 and 6,065.86 is: 9,106.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,040.65 : 6,065.86 = 6,065.86 : x
  2. Step 2: Convert to fraction form
    4,040.65/6,065.86 = 6,065.86/x
  3. Step 3: Cross multiply
    4,040.65x = 6,065.86 × 6,065.86
  4. Step 4: Simplify right side
    4,040.65x = 36,794,649.96
  5. Step 5: Solve for x
    x = 36,794,649.96/4,040.65
  6. Step 6: Final answer
    x = 9,106.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.