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Finding the Third Proportional to 14,350 and 22,164

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Solution

The third proportional to 14,350 and 22,164 is: 34,232.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,350 : 22,164 = 22,164 : x
  2. Step 2: Convert to fraction form
    14,350/22,164 = 22,164/x
  3. Step 3: Cross multiply
    14,350x = 22,164 × 22,164
  4. Step 4: Simplify right side
    14,350x = 491,242,896
  5. Step 5: Solve for x
    x = 491,242,896/14,350
  6. Step 6: Final answer
    x = 34,232.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.