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Finding the Third Proportional to 10,186 and 22,087

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Solution

The third proportional to 10,186 and 22,087 is: 47,892.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,186 : 22,087 = 22,087 : x
  2. Step 2: Convert to fraction form
    10,186/22,087 = 22,087/x
  3. Step 3: Cross multiply
    10,186x = 22,087 × 22,087
  4. Step 4: Simplify right side
    10,186x = 487,835,569
  5. Step 5: Solve for x
    x = 487,835,569/10,186
  6. Step 6: Final answer
    x = 47,892.75

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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.