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Finding the Third Proportional to 37,938 and 81,492

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Solution

The third proportional to 37,938 and 81,492 is: 175,047.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,938 : 81,492 = 81,492 : x
  2. Step 2: Convert to fraction form
    37,938/81,492 = 81,492/x
  3. Step 3: Cross multiply
    37,938x = 81,492 × 81,492
  4. Step 4: Simplify right side
    37,938x = 6,640,946,064
  5. Step 5: Solve for x
    x = 6,640,946,064/37,938
  6. Step 6: Final answer
    x = 175,047.34

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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.