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Finding the Third Proportional to 3,741.19 and 4,402.69

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Solution

The third proportional to 3,741.19 and 4,402.69 is: 5,181.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741.19 : 4,402.69 = 4,402.69 : x
  2. Step 2: Convert to fraction form
    3,741.19/4,402.69 = 4,402.69/x
  3. Step 3: Cross multiply
    3,741.19x = 4,402.69 × 4,402.69
  4. Step 4: Simplify right side
    3,741.19x = 19,383,657.22
  5. Step 5: Solve for x
    x = 19,383,657.22/3,741.19
  6. Step 6: Final answer
    x = 5,181.15

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.