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Finding the Third Proportional to 14,164 and 21,920

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Solution

The third proportional to 14,164 and 21,920 is: 33,923.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,164 : 21,920 = 21,920 : x
  2. Step 2: Convert to fraction form
    14,164/21,920 = 21,920/x
  3. Step 3: Cross multiply
    14,164x = 21,920 × 21,920
  4. Step 4: Simplify right side
    14,164x = 480,486,400
  5. Step 5: Solve for x
    x = 480,486,400/14,164
  6. Step 6: Final answer
    x = 33,923.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.