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Finding the Third Proportional to 1,211.84 and 2,617.10

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Solution

The third proportional to 1,211.84 and 2,617.10 is: 5,651.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.84 : 2,617.10 = 2,617.10 : x
  2. Step 2: Convert to fraction form
    1,211.84/2,617.10 = 2,617.10/x
  3. Step 3: Cross multiply
    1,211.84x = 2,617.10 × 2,617.10
  4. Step 4: Simplify right side
    1,211.84x = 6,849,220.59
  5. Step 5: Solve for x
    x = 6,849,220.59/1,211.84
  6. Step 6: Final answer
    x = 5,651.94

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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.