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Finding the Third Proportional to 19,984.50 and 30,753.75

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Solution

The third proportional to 19,984.50 and 30,753.75 is: 47,326.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,984.50 : 30,753.75 = 30,753.75 : x
  2. Step 2: Convert to fraction form
    19,984.50/30,753.75 = 30,753.75/x
  3. Step 3: Cross multiply
    19,984.50x = 30,753.75 × 30,753.75
  4. Step 4: Simplify right side
    19,984.50x = 945,793,139.06
  5. Step 5: Solve for x
    x = 945,793,139.06/19,984.50
  6. Step 6: Final answer
    x = 47,326.33

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.