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Finding the Third Proportional to 14,324 and 22,790

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Solution

The third proportional to 14,324 and 22,790 is: 36,259.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,324 : 22,790 = 22,790 : x
  2. Step 2: Convert to fraction form
    14,324/22,790 = 22,790/x
  3. Step 3: Cross multiply
    14,324x = 22,790 × 22,790
  4. Step 4: Simplify right side
    14,324x = 519,384,100
  5. Step 5: Solve for x
    x = 519,384,100/14,324
  6. Step 6: Final answer
    x = 36,259.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.