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Finding the Third Proportional to 14,224 and 22,314

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Solution

The third proportional to 14,224 and 22,314 is: 35,005.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,224 : 22,314 = 22,314 : x
  2. Step 2: Convert to fraction form
    14,224/22,314 = 22,314/x
  3. Step 3: Cross multiply
    14,224x = 22,314 × 22,314
  4. Step 4: Simplify right side
    14,224x = 497,914,596
  5. Step 5: Solve for x
    x = 497,914,596/14,224
  6. Step 6: Final answer
    x = 35,005.24

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.