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Finding the Third Proportional to 2,932.31 and 5,984.44

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Solution

The third proportional to 2,932.31 and 5,984.44 is: 12,213.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.31 : 5,984.44 = 5,984.44 : x
  2. Step 2: Convert to fraction form
    2,932.31/5,984.44 = 5,984.44/x
  3. Step 3: Cross multiply
    2,932.31x = 5,984.44 × 5,984.44
  4. Step 4: Simplify right side
    2,932.31x = 35,813,492.19
  5. Step 5: Solve for x
    x = 35,813,492.19/2,932.31
  6. Step 6: Final answer
    x = 12,213.40

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.