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Finding the Third Proportional to 1,701.38 and 3,222.94

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Solution

The third proportional to 1,701.38 and 3,222.94 is: 6,105.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.38 : 3,222.94 = 3,222.94 : x
  2. Step 2: Convert to fraction form
    1,701.38/3,222.94 = 3,222.94/x
  3. Step 3: Cross multiply
    1,701.38x = 3,222.94 × 3,222.94
  4. Step 4: Simplify right side
    1,701.38x = 10,387,326.13
  5. Step 5: Solve for x
    x = 10,387,326.13/1,701.38
  6. Step 6: Final answer
    x = 6,105.25

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.