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Finding the Third Proportional to 13,793.50 and 21,851.50

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Solution

The third proportional to 13,793.50 and 21,851.50 is: 34,616.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,793.50 : 21,851.50 = 21,851.50 : x
  2. Step 2: Convert to fraction form
    13,793.50/21,851.50 = 21,851.50/x
  3. Step 3: Cross multiply
    13,793.50x = 21,851.50 × 21,851.50
  4. Step 4: Simplify right side
    13,793.50x = 477,488,052.25
  5. Step 5: Solve for x
    x = 477,488,052.25/13,793.50
  6. Step 6: Final answer
    x = 34,616.89

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.