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Finding the Third Proportional to 3,873.09 and 6,155.72

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Solution

The third proportional to 3,873.09 and 6,155.72 is: 9,783.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.09 : 6,155.72 = 6,155.72 : x
  2. Step 2: Convert to fraction form
    3,873.09/6,155.72 = 6,155.72/x
  3. Step 3: Cross multiply
    3,873.09x = 6,155.72 × 6,155.72
  4. Step 4: Simplify right side
    3,873.09x = 37,892,873.33
  5. Step 5: Solve for x
    x = 37,892,873.33/3,873.09
  6. Step 6: Final answer
    x = 9,783.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.