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Finding the Third Proportional to 10,186.88 and 22,709.25

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Solution

The third proportional to 10,186.88 and 22,709.25 is: 50,624.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,186.88 : 22,709.25 = 22,709.25 : x
  2. Step 2: Convert to fraction form
    10,186.88/22,709.25 = 22,709.25/x
  3. Step 3: Cross multiply
    10,186.88x = 22,709.25 × 22,709.25
  4. Step 4: Simplify right side
    10,186.88x = 515,710,035.56
  5. Step 5: Solve for x
    x = 515,710,035.56/10,186.88
  6. Step 6: Final answer
    x = 50,624.95

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.