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Finding the Third Proportional to 10,357 and 22,165

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Solution

The third proportional to 10,357 and 22,165 is: 47,435.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357 : 22,165 = 22,165 : x
  2. Step 2: Convert to fraction form
    10,357/22,165 = 22,165/x
  3. Step 3: Cross multiply
    10,357x = 22,165 × 22,165
  4. Step 4: Simplify right side
    10,357x = 491,287,225
  5. Step 5: Solve for x
    x = 491,287,225/10,357
  6. Step 6: Final answer
    x = 47,435.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.