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Finding the Third Proportional to 1,983.73 and 4,240.76

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Solution

The third proportional to 1,983.73 and 4,240.76 is: 9,065.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.73 : 4,240.76 = 4,240.76 : x
  2. Step 2: Convert to fraction form
    1,983.73/4,240.76 = 4,240.76/x
  3. Step 3: Cross multiply
    1,983.73x = 4,240.76 × 4,240.76
  4. Step 4: Simplify right side
    1,983.73x = 17,984,026.82
  5. Step 5: Solve for x
    x = 17,984,026.82/1,983.73
  6. Step 6: Final answer
    x = 9,065.78

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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.