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Finding the Third Proportional to 18,432 and 27,803

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Solution

The third proportional to 18,432 and 27,803 is: 41,938.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,432 : 27,803 = 27,803 : x
  2. Step 2: Convert to fraction form
    18,432/27,803 = 27,803/x
  3. Step 3: Cross multiply
    18,432x = 27,803 × 27,803
  4. Step 4: Simplify right side
    18,432x = 773,006,809
  5. Step 5: Solve for x
    x = 773,006,809/18,432
  6. Step 6: Final answer
    x = 41,938.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.