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Finding the Third Proportional to 2,062.97 and 4,471.88

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Solution

The third proportional to 2,062.97 and 4,471.88 is: 9,693.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.97 : 4,471.88 = 4,471.88 : x
  2. Step 2: Convert to fraction form
    2,062.97/4,471.88 = 4,471.88/x
  3. Step 3: Cross multiply
    2,062.97x = 4,471.88 × 4,471.88
  4. Step 4: Simplify right side
    2,062.97x = 19,997,666.02
  5. Step 5: Solve for x
    x = 19,997,666.02/2,062.97
  6. Step 6: Final answer
    x = 9,693.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.