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Finding the Third Proportional to 561.03 and 1,211.69

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Solution

The third proportional to 561.03 and 1,211.69 is: 2,616.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.03 : 1,211.69 = 1,211.69 : x
  2. Step 2: Convert to fraction form
    561.03/1,211.69 = 1,211.69/x
  3. Step 3: Cross multiply
    561.03x = 1,211.69 × 1,211.69
  4. Step 4: Simplify right side
    561.03x = 1,468,186.60
  5. Step 5: Solve for x
    x = 1,468,186.60/561.03
  6. Step 6: Final answer
    x = 2,616.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.