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Finding the Third Proportional to 1,923.75 and 3,937.78

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Solution

The third proportional to 1,923.75 and 3,937.78 is: 8,060.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.75 : 3,937.78 = 3,937.78 : x
  2. Step 2: Convert to fraction form
    1,923.75/3,937.78 = 3,937.78/x
  3. Step 3: Cross multiply
    1,923.75x = 3,937.78 × 3,937.78
  4. Step 4: Simplify right side
    1,923.75x = 15,506,121.17
  5. Step 5: Solve for x
    x = 15,506,121.17/1,923.75
  6. Step 6: Final answer
    x = 8,060.36

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.