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Finding the Third Proportional to 1,242.84 and 2,175.61

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Solution

The third proportional to 1,242.84 and 2,175.61 is: 3,808.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.84 : 2,175.61 = 2,175.61 : x
  2. Step 2: Convert to fraction form
    1,242.84/2,175.61 = 2,175.61/x
  3. Step 3: Cross multiply
    1,242.84x = 2,175.61 × 2,175.61
  4. Step 4: Simplify right side
    1,242.84x = 4,733,276.15
  5. Step 5: Solve for x
    x = 4,733,276.15/1,242.84
  6. Step 6: Final answer
    x = 3,808.42

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.