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Finding the Third Proportional to 20,194 and 22,259

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Solution

The third proportional to 20,194 and 22,259 is: 24,535.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,194 : 22,259 = 22,259 : x
  2. Step 2: Convert to fraction form
    20,194/22,259 = 22,259/x
  3. Step 3: Cross multiply
    20,194x = 22,259 × 22,259
  4. Step 4: Simplify right side
    20,194x = 495,463,081
  5. Step 5: Solve for x
    x = 495,463,081/20,194
  6. Step 6: Final answer
    x = 24,535.16

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.