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Finding the Third Proportional to 4,161.38 and 5,615.58

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Solution

The third proportional to 4,161.38 and 5,615.58 is: 7,577.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161.38 : 5,615.58 = 5,615.58 : x
  2. Step 2: Convert to fraction form
    4,161.38/5,615.58 = 5,615.58/x
  3. Step 3: Cross multiply
    4,161.38x = 5,615.58 × 5,615.58
  4. Step 4: Simplify right side
    4,161.38x = 31,534,717.68
  5. Step 5: Solve for x
    x = 31,534,717.68/4,161.38
  6. Step 6: Final answer
    x = 7,577.96

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.