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Finding the Third Proportional to 19,801.50 and 30,998.50

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Solution

The third proportional to 19,801.50 and 30,998.50 is: 48,526.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,801.50 : 30,998.50 = 30,998.50 : x
  2. Step 2: Convert to fraction form
    19,801.50/30,998.50 = 30,998.50/x
  3. Step 3: Cross multiply
    19,801.50x = 30,998.50 × 30,998.50
  4. Step 4: Simplify right side
    19,801.50x = 960,907,002.25
  5. Step 5: Solve for x
    x = 960,907,002.25/19,801.50
  6. Step 6: Final answer
    x = 48,526.98

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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.