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Finding the Third Proportional to 20,071 and 43,388

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Solution

The third proportional to 20,071 and 43,388 is: 93,792.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,071 : 43,388 = 43,388 : x
  2. Step 2: Convert to fraction form
    20,071/43,388 = 43,388/x
  3. Step 3: Cross multiply
    20,071x = 43,388 × 43,388
  4. Step 4: Simplify right side
    20,071x = 1,882,518,544
  5. Step 5: Solve for x
    x = 1,882,518,544/20,071
  6. Step 6: Final answer
    x = 93,792.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.