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Finding the Third Proportional to 891.95 and 1,937.20

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Solution

The third proportional to 891.95 and 1,937.20 is: 4,207.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.95 : 1,937.20 = 1,937.20 : x
  2. Step 2: Convert to fraction form
    891.95/1,937.20 = 1,937.20/x
  3. Step 3: Cross multiply
    891.95x = 1,937.20 × 1,937.20
  4. Step 4: Simplify right side
    891.95x = 3,752,733.25
  5. Step 5: Solve for x
    x = 3,752,733.25/891.95
  6. Step 6: Final answer
    x = 4,207.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.