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Finding the Third Proportional to 803.04 and 1,759.85

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Solution

The third proportional to 803.04 and 1,759.85 is: 3,856.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.04 : 1,759.85 = 1,759.85 : x
  2. Step 2: Convert to fraction form
    803.04/1,759.85 = 1,759.85/x
  3. Step 3: Cross multiply
    803.04x = 1,759.85 × 1,759.85
  4. Step 4: Simplify right side
    803.04x = 3,097,077.52
  5. Step 5: Solve for x
    x = 3,097,077.52/803.04
  6. Step 6: Final answer
    x = 3,856.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.