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Finding the Third Proportional to 1,003.43 and 1,930.92

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Solution

The third proportional to 1,003.43 and 1,930.92 is: 3,715.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.43 : 1,930.92 = 1,930.92 : x
  2. Step 2: Convert to fraction form
    1,003.43/1,930.92 = 1,930.92/x
  3. Step 3: Cross multiply
    1,003.43x = 1,930.92 × 1,930.92
  4. Step 4: Simplify right side
    1,003.43x = 3,728,459.29
  5. Step 5: Solve for x
    x = 3,728,459.29/1,003.43
  6. Step 6: Final answer
    x = 3,715.72

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.