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Finding the Third Proportional to 932.25 and 1,983.75

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Solution

The third proportional to 932.25 and 1,983.75 is: 4,221.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.25 : 1,983.75 = 1,983.75 : x
  2. Step 2: Convert to fraction form
    932.25/1,983.75 = 1,983.75/x
  3. Step 3: Cross multiply
    932.25x = 1,983.75 × 1,983.75
  4. Step 4: Simplify right side
    932.25x = 3,935,264.06
  5. Step 5: Solve for x
    x = 3,935,264.06/932.25
  6. Step 6: Final answer
    x = 4,221.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.