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Finding the Third Proportional to 801.98 and 1,291.57

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Solution

The third proportional to 801.98 and 1,291.57 is: 2,080.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.98 : 1,291.57 = 1,291.57 : x
  2. Step 2: Convert to fraction form
    801.98/1,291.57 = 1,291.57/x
  3. Step 3: Cross multiply
    801.98x = 1,291.57 × 1,291.57
  4. Step 4: Simplify right side
    801.98x = 1,668,153.87
  5. Step 5: Solve for x
    x = 1,668,153.87/801.98
  6. Step 6: Final answer
    x = 2,080.03

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.