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Finding the Third Proportional to 21,453.75 and 47,270.50

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Solution

The third proportional to 21,453.75 and 47,270.50 is: 104,154.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,453.75 : 47,270.50 = 47,270.50 : x
  2. Step 2: Convert to fraction form
    21,453.75/47,270.50 = 47,270.50/x
  3. Step 3: Cross multiply
    21,453.75x = 47,270.50 × 47,270.50
  4. Step 4: Simplify right side
    21,453.75x = 2,234,500,170.25
  5. Step 5: Solve for x
    x = 2,234,500,170.25/21,453.75
  6. Step 6: Final answer
    x = 104,154.29

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.