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Finding the Third Proportional to 886.25 and 2,069.88

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Solution

The third proportional to 886.25 and 2,069.88 is: 4,834.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.25 : 2,069.88 = 2,069.88 : x
  2. Step 2: Convert to fraction form
    886.25/2,069.88 = 2,069.88/x
  3. Step 3: Cross multiply
    886.25x = 2,069.88 × 2,069.88
  4. Step 4: Simplify right side
    886.25x = 4,284,382.52
  5. Step 5: Solve for x
    x = 4,284,382.52/886.25
  6. Step 6: Final answer
    x = 4,834.28

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.