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Finding the Third Proportional to 10,972.13 and 16,768.69

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Solution

The third proportional to 10,972.13 and 16,768.69 is: 25,627.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,972.13 : 16,768.69 = 16,768.69 : x
  2. Step 2: Convert to fraction form
    10,972.13/16,768.69 = 16,768.69/x
  3. Step 3: Cross multiply
    10,972.13x = 16,768.69 × 16,768.69
  4. Step 4: Simplify right side
    10,972.13x = 281,188,880.47
  5. Step 5: Solve for x
    x = 281,188,880.47/10,972.13
  6. Step 6: Final answer
    x = 25,627.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.