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Finding the Third Proportional to 20,368 and 27,035

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Solution

The third proportional to 20,368 and 27,035 is: 35,884.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,368 : 27,035 = 27,035 : x
  2. Step 2: Convert to fraction form
    20,368/27,035 = 27,035/x
  3. Step 3: Cross multiply
    20,368x = 27,035 × 27,035
  4. Step 4: Simplify right side
    20,368x = 730,891,225
  5. Step 5: Solve for x
    x = 730,891,225/20,368
  6. Step 6: Final answer
    x = 35,884.29

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.