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Finding the Third Proportional to 801.75 and 1,471.88

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Solution

The third proportional to 801.75 and 1,471.88 is: 2,702.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.75 : 1,471.88 = 1,471.88 : x
  2. Step 2: Convert to fraction form
    801.75/1,471.88 = 1,471.88/x
  3. Step 3: Cross multiply
    801.75x = 1,471.88 × 1,471.88
  4. Step 4: Simplify right side
    801.75x = 2,166,416.02
  5. Step 5: Solve for x
    x = 2,166,416.02/801.75
  6. Step 6: Final answer
    x = 2,702.11

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.