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Finding the Third Proportional to 1,186.84 and 2,214.21

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Solution

The third proportional to 1,186.84 and 2,214.21 is: 4,130.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.84 : 2,214.21 = 2,214.21 : x
  2. Step 2: Convert to fraction form
    1,186.84/2,214.21 = 2,214.21/x
  3. Step 3: Cross multiply
    1,186.84x = 2,214.21 × 2,214.21
  4. Step 4: Simplify right side
    1,186.84x = 4,902,730.08
  5. Step 5: Solve for x
    x = 4,902,730.08/1,186.84
  6. Step 6: Final answer
    x = 4,130.91

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.