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Finding the Third Proportional to 4,416.19 and 5,881.78

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Solution

The third proportional to 4,416.19 and 5,881.78 is: 7,833.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,416.19 : 5,881.78 = 5,881.78 : x
  2. Step 2: Convert to fraction form
    4,416.19/5,881.78 = 5,881.78/x
  3. Step 3: Cross multiply
    4,416.19x = 5,881.78 × 5,881.78
  4. Step 4: Simplify right side
    4,416.19x = 34,595,350.67
  5. Step 5: Solve for x
    x = 34,595,350.67/4,416.19
  6. Step 6: Final answer
    x = 7,833.76

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.