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Finding the Third Proportional to 10,186.50 and 22,218

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Solution

The third proportional to 10,186.50 and 22,218 is: 48,460.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,186.50 : 22,218 = 22,218 : x
  2. Step 2: Convert to fraction form
    10,186.50/22,218 = 22,218/x
  3. Step 3: Cross multiply
    10,186.50x = 22,218 × 22,218
  4. Step 4: Simplify right side
    10,186.50x = 493,639,524
  5. Step 5: Solve for x
    x = 493,639,524/10,186.50
  6. Step 6: Final answer
    x = 48,460.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.