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Finding the Third Proportional to 4,108.59 and 6,155.81

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Solution

The third proportional to 4,108.59 and 6,155.81 is: 9,223.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,108.59 : 6,155.81 = 6,155.81 : x
  2. Step 2: Convert to fraction form
    4,108.59/6,155.81 = 6,155.81/x
  3. Step 3: Cross multiply
    4,108.59x = 6,155.81 × 6,155.81
  4. Step 4: Simplify right side
    4,108.59x = 37,894,027.54
  5. Step 5: Solve for x
    x = 37,894,027.54/4,108.59
  6. Step 6: Final answer
    x = 9,223.11

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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.