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Finding the Third Proportional to 10,357 and 14,110

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Solution

The third proportional to 10,357 and 14,110 is: 19,222.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357 : 14,110 = 14,110 : x
  2. Step 2: Convert to fraction form
    10,357/14,110 = 14,110/x
  3. Step 3: Cross multiply
    10,357x = 14,110 × 14,110
  4. Step 4: Simplify right side
    10,357x = 199,092,100
  5. Step 5: Solve for x
    x = 199,092,100/10,357
  6. Step 6: Final answer
    x = 19,222.95

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.