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Finding the Third Proportional to 13,972.50 and 20,768.91

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Solution

The third proportional to 13,972.50 and 20,768.91 is: 30,871.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,972.50 : 20,768.91 = 20,768.91 : x
  2. Step 2: Convert to fraction form
    13,972.50/20,768.91 = 20,768.91/x
  3. Step 3: Cross multiply
    13,972.50x = 20,768.91 × 20,768.91
  4. Step 4: Simplify right side
    13,972.50x = 431,347,466.82
  5. Step 5: Solve for x
    x = 431,347,466.82/13,972.50
  6. Step 6: Final answer
    x = 30,871.17

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