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Finding the Third Proportional to 19,980 and 31,326.75

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Solution

The third proportional to 19,980 and 31,326.75 is: 49,117.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,980 : 31,326.75 = 31,326.75 : x
  2. Step 2: Convert to fraction form
    19,980/31,326.75 = 31,326.75/x
  3. Step 3: Cross multiply
    19,980x = 31,326.75 × 31,326.75
  4. Step 4: Simplify right side
    19,980x = 981,365,265.56
  5. Step 5: Solve for x
    x = 981,365,265.56/19,980
  6. Step 6: Final answer
    x = 49,117.38

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.