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Finding the Third Proportional to 20,178 and 23,864

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Solution

The third proportional to 20,178 and 23,864 is: 28,223.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,178 : 23,864 = 23,864 : x
  2. Step 2: Convert to fraction form
    20,178/23,864 = 23,864/x
  3. Step 3: Cross multiply
    20,178x = 23,864 × 23,864
  4. Step 4: Simplify right side
    20,178x = 569,490,496
  5. Step 5: Solve for x
    x = 569,490,496/20,178
  6. Step 6: Final answer
    x = 28,223.34

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.