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Finding the Third Proportional to 10,366 and 22,106

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Solution

The third proportional to 10,366 and 22,106 is: 47,142.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366 : 22,106 = 22,106 : x
  2. Step 2: Convert to fraction form
    10,366/22,106 = 22,106/x
  3. Step 3: Cross multiply
    10,366x = 22,106 × 22,106
  4. Step 4: Simplify right side
    10,366x = 488,675,236
  5. Step 5: Solve for x
    x = 488,675,236/10,366
  6. Step 6: Final answer
    x = 47,142.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.