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Finding the Third Proportional to 20,095 and 43,243

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Solution

The third proportional to 20,095 and 43,243 is: 93,055.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,095 : 43,243 = 43,243 : x
  2. Step 2: Convert to fraction form
    20,095/43,243 = 43,243/x
  3. Step 3: Cross multiply
    20,095x = 43,243 × 43,243
  4. Step 4: Simplify right side
    20,095x = 1,869,957,049
  5. Step 5: Solve for x
    x = 1,869,957,049/20,095
  6. Step 6: Final answer
    x = 93,055.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.