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Finding the Third Proportional to 1,697.91 and 2,701.69

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Solution

The third proportional to 1,697.91 and 2,701.69 is: 4,298.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.91 : 2,701.69 = 2,701.69 : x
  2. Step 2: Convert to fraction form
    1,697.91/2,701.69 = 2,701.69/x
  3. Step 3: Cross multiply
    1,697.91x = 2,701.69 × 2,701.69
  4. Step 4: Simplify right side
    1,697.91x = 7,299,115.35
  5. Step 5: Solve for x
    x = 7,299,115.35/1,697.91
  6. Step 6: Final answer
    x = 4,298.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.