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Finding the Third Proportional to 1,802.33 and 3,874.24

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Solution

The third proportional to 1,802.33 and 3,874.24 is: 8,327.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.33 : 3,874.24 = 3,874.24 : x
  2. Step 2: Convert to fraction form
    1,802.33/3,874.24 = 3,874.24/x
  3. Step 3: Cross multiply
    1,802.33x = 3,874.24 × 3,874.24
  4. Step 4: Simplify right side
    1,802.33x = 15,009,707.13
  5. Step 5: Solve for x
    x = 15,009,707.13/1,802.33
  6. Step 6: Final answer
    x = 8,327.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.