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Finding the Third Proportional to 925.08 and 1,981.78

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Solution

The third proportional to 925.08 and 1,981.78 is: 4,245.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.08 : 1,981.78 = 1,981.78 : x
  2. Step 2: Convert to fraction form
    925.08/1,981.78 = 1,981.78/x
  3. Step 3: Cross multiply
    925.08x = 1,981.78 × 1,981.78
  4. Step 4: Simplify right side
    925.08x = 3,927,456.92
  5. Step 5: Solve for x
    x = 3,927,456.92/925.08
  6. Step 6: Final answer
    x = 4,245.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.