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Finding the Third Proportional to 13,974.50 and 21,812.50

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Solution

The third proportional to 13,974.50 and 21,812.50 is: 34,046.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,974.50 : 21,812.50 = 21,812.50 : x
  2. Step 2: Convert to fraction form
    13,974.50/21,812.50 = 21,812.50/x
  3. Step 3: Cross multiply
    13,974.50x = 21,812.50 × 21,812.50
  4. Step 4: Simplify right side
    13,974.50x = 475,785,156.25
  5. Step 5: Solve for x
    x = 475,785,156.25/13,974.50
  6. Step 6: Final answer
    x = 34,046.67

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.