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Finding the Third Proportional to 3,337.88 and 4,416.19

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Solution

The third proportional to 3,337.88 and 4,416.19 is: 5,842.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,337.88 : 4,416.19 = 4,416.19 : x
  2. Step 2: Convert to fraction form
    3,337.88/4,416.19 = 4,416.19/x
  3. Step 3: Cross multiply
    3,337.88x = 4,416.19 × 4,416.19
  4. Step 4: Simplify right side
    3,337.88x = 19,502,712.04
  5. Step 5: Solve for x
    x = 19,502,712.04/3,337.88
  6. Step 6: Final answer
    x = 5,842.85

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.