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Finding the Third Proportional to 18,432 and 37,957

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Solution

The third proportional to 18,432 and 37,957 is: 78,164.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,432 : 37,957 = 37,957 : x
  2. Step 2: Convert to fraction form
    18,432/37,957 = 37,957/x
  3. Step 3: Cross multiply
    18,432x = 37,957 × 37,957
  4. Step 4: Simplify right side
    18,432x = 1,440,733,849
  5. Step 5: Solve for x
    x = 1,440,733,849/18,432
  6. Step 6: Final answer
    x = 78,164.81

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.