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Finding the Third Proportional to 1,917.66 and 4,159.88

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Solution

The third proportional to 1,917.66 and 4,159.88 is: 9,023.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.66 : 4,159.88 = 4,159.88 : x
  2. Step 2: Convert to fraction form
    1,917.66/4,159.88 = 4,159.88/x
  3. Step 3: Cross multiply
    1,917.66x = 4,159.88 × 4,159.88
  4. Step 4: Simplify right side
    1,917.66x = 17,304,560.02
  5. Step 5: Solve for x
    x = 17,304,560.02/1,917.66
  6. Step 6: Final answer
    x = 9,023.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.