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Finding the Third Proportional to 799.03 and 1,712.81

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Solution

The third proportional to 799.03 and 1,712.81 is: 3,671.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.03 : 1,712.81 = 1,712.81 : x
  2. Step 2: Convert to fraction form
    799.03/1,712.81 = 1,712.81/x
  3. Step 3: Cross multiply
    799.03x = 1,712.81 × 1,712.81
  4. Step 4: Simplify right side
    799.03x = 2,933,726.66
  5. Step 5: Solve for x
    x = 2,933,726.66/799.03
  6. Step 6: Final answer
    x = 3,671.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.