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Finding the Third Proportional to 802.13 and 1,738.69

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Solution

The third proportional to 802.13 and 1,738.69 is: 3,768.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.13 : 1,738.69 = 1,738.69 : x
  2. Step 2: Convert to fraction form
    802.13/1,738.69 = 1,738.69/x
  3. Step 3: Cross multiply
    802.13x = 1,738.69 × 1,738.69
  4. Step 4: Simplify right side
    802.13x = 3,023,034.22
  5. Step 5: Solve for x
    x = 3,023,034.22/802.13
  6. Step 6: Final answer
    x = 3,768.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.