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Finding the Third Proportional to 23,298 and 37,161

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Solution

The third proportional to 23,298 and 37,161 is: 59,272.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,298 : 37,161 = 37,161 : x
  2. Step 2: Convert to fraction form
    23,298/37,161 = 37,161/x
  3. Step 3: Cross multiply
    23,298x = 37,161 × 37,161
  4. Step 4: Simplify right side
    23,298x = 1,380,939,921
  5. Step 5: Solve for x
    x = 1,380,939,921/23,298
  6. Step 6: Final answer
    x = 59,272.90

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.