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Finding the Third Proportional to 803.95 and 1,630.27

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Solution

The third proportional to 803.95 and 1,630.27 is: 3,305.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.95 : 1,630.27 = 1,630.27 : x
  2. Step 2: Convert to fraction form
    803.95/1,630.27 = 1,630.27/x
  3. Step 3: Cross multiply
    803.95x = 1,630.27 × 1,630.27
  4. Step 4: Simplify right side
    803.95x = 2,657,766.01
  5. Step 5: Solve for x
    x = 2,657,766.01/803.95
  6. Step 6: Final answer
    x = 3,305.87

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.