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Finding the Third Proportional to 2,416.08 and 3,991.78

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Solution

The third proportional to 2,416.08 and 3,991.78 is: 6,595.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.08 : 3,991.78 = 3,991.78 : x
  2. Step 2: Convert to fraction form
    2,416.08/3,991.78 = 3,991.78/x
  3. Step 3: Cross multiply
    2,416.08x = 3,991.78 × 3,991.78
  4. Step 4: Simplify right side
    2,416.08x = 15,934,317.55
  5. Step 5: Solve for x
    x = 15,934,317.55/2,416.08
  6. Step 6: Final answer
    x = 6,595.12

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.