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Finding the Third Proportional to 1,061.72 and 2,197.97

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Solution

The third proportional to 1,061.72 and 2,197.97 is: 4,550.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.72 : 2,197.97 = 2,197.97 : x
  2. Step 2: Convert to fraction form
    1,061.72/2,197.97 = 2,197.97/x
  3. Step 3: Cross multiply
    1,061.72x = 2,197.97 × 2,197.97
  4. Step 4: Simplify right side
    1,061.72x = 4,831,066.63
  5. Step 5: Solve for x
    x = 4,831,066.63/1,061.72
  6. Step 6: Final answer
    x = 4,550.23

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.