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Finding the Third Proportional to 8,493.75 and 20,011.50

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Solution

The third proportional to 8,493.75 and 20,011.50 is: 47,147.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,493.75 : 20,011.50 = 20,011.50 : x
  2. Step 2: Convert to fraction form
    8,493.75/20,011.50 = 20,011.50/x
  3. Step 3: Cross multiply
    8,493.75x = 20,011.50 × 20,011.50
  4. Step 4: Simplify right side
    8,493.75x = 400,460,132.25
  5. Step 5: Solve for x
    x = 400,460,132.25/8,493.75
  6. Step 6: Final answer
    x = 47,147.62

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.