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Finding the Third Proportional to 5,039.72 and 10,680.61

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Solution

The third proportional to 5,039.72 and 10,680.61 is: 22,635.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,039.72 : 10,680.61 = 10,680.61 : x
  2. Step 2: Convert to fraction form
    5,039.72/10,680.61 = 10,680.61/x
  3. Step 3: Cross multiply
    5,039.72x = 10,680.61 × 10,680.61
  4. Step 4: Simplify right side
    5,039.72x = 114,075,416.62
  5. Step 5: Solve for x
    x = 114,075,416.62/5,039.72
  6. Step 6: Final answer
    x = 22,635.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.