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Finding the Third Proportional to 772.13 and 1,802.06

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Solution

The third proportional to 772.13 and 1,802.06 is: 4,205.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.13 : 1,802.06 = 1,802.06 : x
  2. Step 2: Convert to fraction form
    772.13/1,802.06 = 1,802.06/x
  3. Step 3: Cross multiply
    772.13x = 1,802.06 × 1,802.06
  4. Step 4: Simplify right side
    772.13x = 3,247,429.25
  5. Step 5: Solve for x
    x = 3,247,429.25/772.13
  6. Step 6: Final answer
    x = 4,205.83

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.