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Finding the Third Proportional to 886.25 and 1,914.13

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Solution

The third proportional to 886.25 and 1,914.13 is: 4,134.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.25 : 1,914.13 = 1,914.13 : x
  2. Step 2: Convert to fraction form
    886.25/1,914.13 = 1,914.13/x
  3. Step 3: Cross multiply
    886.25x = 1,914.13 × 1,914.13
  4. Step 4: Simplify right side
    886.25x = 3,663,874.52
  5. Step 5: Solve for x
    x = 3,663,874.52/886.25
  6. Step 6: Final answer
    x = 4,134.13

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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.