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Finding the Third Proportional to 4,705.88 and 10,231.59

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Solution

The third proportional to 4,705.88 and 10,231.59 is: 22,245.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.88 : 10,231.59 = 10,231.59 : x
  2. Step 2: Convert to fraction form
    4,705.88/10,231.59 = 10,231.59/x
  3. Step 3: Cross multiply
    4,705.88x = 10,231.59 × 10,231.59
  4. Step 4: Simplify right side
    4,705.88x = 104,685,510.67
  5. Step 5: Solve for x
    x = 104,685,510.67/4,705.88
  6. Step 6: Final answer
    x = 22,245.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.