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Finding the Third Proportional to 992.41 and 2,149.98

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Solution

The third proportional to 992.41 and 2,149.98 is: 4,657.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.41 : 2,149.98 = 2,149.98 : x
  2. Step 2: Convert to fraction form
    992.41/2,149.98 = 2,149.98/x
  3. Step 3: Cross multiply
    992.41x = 2,149.98 × 2,149.98
  4. Step 4: Simplify right side
    992.41x = 4,622,416.02
  5. Step 5: Solve for x
    x = 4,622,416.02/992.41
  6. Step 6: Final answer
    x = 4,657.78

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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.