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Finding the Third Proportional to 13,974.75 and 20,772

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Solution

The third proportional to 13,974.75 and 20,772 is: 30,875.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,974.75 : 20,772 = 20,772 : x
  2. Step 2: Convert to fraction form
    13,974.75/20,772 = 20,772/x
  3. Step 3: Cross multiply
    13,974.75x = 20,772 × 20,772
  4. Step 4: Simplify right side
    13,974.75x = 431,475,984
  5. Step 5: Solve for x
    x = 431,475,984/13,974.75
  6. Step 6: Final answer
    x = 30,875.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.