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Finding the Third Proportional to 1,163.06 and 1,802.06

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Solution

The third proportional to 1,163.06 and 1,802.06 is: 2,792.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.06 : 1,802.06 = 1,802.06 : x
  2. Step 2: Convert to fraction form
    1,163.06/1,802.06 = 1,802.06/x
  3. Step 3: Cross multiply
    1,163.06x = 1,802.06 × 1,802.06
  4. Step 4: Simplify right side
    1,163.06x = 3,247,429.25
  5. Step 5: Solve for x
    x = 3,247,429.25/1,163.06
  6. Step 6: Final answer
    x = 2,792.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.