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Finding the Third Proportional to 14,100 and 22,324

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Solution

The third proportional to 14,100 and 22,324 is: 35,344.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,100 : 22,324 = 22,324 : x
  2. Step 2: Convert to fraction form
    14,100/22,324 = 22,324/x
  3. Step 3: Cross multiply
    14,100x = 22,324 × 22,324
  4. Step 4: Simplify right side
    14,100x = 498,360,976
  5. Step 5: Solve for x
    x = 498,360,976/14,100
  6. Step 6: Final answer
    x = 35,344.75

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.