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Finding the Third Proportional to 799.13 and 1,876.13

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Solution

The third proportional to 799.13 and 1,876.13 is: 4,404.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.13 : 1,876.13 = 1,876.13 : x
  2. Step 2: Convert to fraction form
    799.13/1,876.13 = 1,876.13/x
  3. Step 3: Cross multiply
    799.13x = 1,876.13 × 1,876.13
  4. Step 4: Simplify right side
    799.13x = 3,519,845.02
  5. Step 5: Solve for x
    x = 3,519,845.02/799.13
  6. Step 6: Final answer
    x = 4,404.62

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.