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Finding the Third Proportional to 1,917.84 and 4,062.66

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Solution

The third proportional to 1,917.84 and 4,062.66 is: 8,606.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.84 : 4,062.66 = 4,062.66 : x
  2. Step 2: Convert to fraction form
    1,917.84/4,062.66 = 4,062.66/x
  3. Step 3: Cross multiply
    1,917.84x = 4,062.66 × 4,062.66
  4. Step 4: Simplify right side
    1,917.84x = 16,505,175.81
  5. Step 5: Solve for x
    x = 16,505,175.81/1,917.84
  6. Step 6: Final answer
    x = 8,606.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.