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Finding the Third Proportional to 3,115.69 and 4,686.19

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Solution

The third proportional to 3,115.69 and 4,686.19 is: 7,048.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115.69 : 4,686.19 = 4,686.19 : x
  2. Step 2: Convert to fraction form
    3,115.69/4,686.19 = 4,686.19/x
  3. Step 3: Cross multiply
    3,115.69x = 4,686.19 × 4,686.19
  4. Step 4: Simplify right side
    3,115.69x = 21,960,353.29
  5. Step 5: Solve for x
    x = 21,960,353.29/3,115.69
  6. Step 6: Final answer
    x = 7,048.32

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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.