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Finding the Third Proportional to 997.31 and 2,184.47

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Solution

The third proportional to 997.31 and 2,184.47 is: 4,784.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.31 : 2,184.47 = 2,184.47 : x
  2. Step 2: Convert to fraction form
    997.31/2,184.47 = 2,184.47/x
  3. Step 3: Cross multiply
    997.31x = 2,184.47 × 2,184.47
  4. Step 4: Simplify right side
    997.31x = 4,771,903.72
  5. Step 5: Solve for x
    x = 4,771,903.72/997.31
  6. Step 6: Final answer
    x = 4,784.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.