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Finding the Third Proportional to 10,169 and 22,054

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Solution

The third proportional to 10,169 and 22,054 is: 47,829.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,169 : 22,054 = 22,054 : x
  2. Step 2: Convert to fraction form
    10,169/22,054 = 22,054/x
  3. Step 3: Cross multiply
    10,169x = 22,054 × 22,054
  4. Step 4: Simplify right side
    10,169x = 486,378,916
  5. Step 5: Solve for x
    x = 486,378,916/10,169
  6. Step 6: Final answer
    x = 47,829.57

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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.