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Finding the Third Proportional to 20,051 and 43,381

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Solution

The third proportional to 20,051 and 43,381 is: 93,856.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,051 : 43,381 = 43,381 : x
  2. Step 2: Convert to fraction form
    20,051/43,381 = 43,381/x
  3. Step 3: Cross multiply
    20,051x = 43,381 × 43,381
  4. Step 4: Simplify right side
    20,051x = 1,881,911,161
  5. Step 5: Solve for x
    x = 1,881,911,161/20,051
  6. Step 6: Final answer
    x = 93,856.22

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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.