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Finding the Third Proportional to 1,700.76 and 2,626.96

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Solution

The third proportional to 1,700.76 and 2,626.96 is: 4,057.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.76 : 2,626.96 = 2,626.96 : x
  2. Step 2: Convert to fraction form
    1,700.76/2,626.96 = 2,626.96/x
  3. Step 3: Cross multiply
    1,700.76x = 2,626.96 × 2,626.96
  4. Step 4: Simplify right side
    1,700.76x = 6,900,934.03
  5. Step 5: Solve for x
    x = 6,900,934.03/1,700.76
  6. Step 6: Final answer
    x = 4,057.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.