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Finding the Third Proportional to 894.80 and 2,115.49

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Solution

The third proportional to 894.80 and 2,115.49 is: 5,001.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.80 : 2,115.49 = 2,115.49 : x
  2. Step 2: Convert to fraction form
    894.80/2,115.49 = 2,115.49/x
  3. Step 3: Cross multiply
    894.80x = 2,115.49 × 2,115.49
  4. Step 4: Simplify right side
    894.80x = 4,475,307.20
  5. Step 5: Solve for x
    x = 4,475,307.20/894.80
  6. Step 6: Final answer
    x = 5,001.48

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.