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Finding the Third Proportional to 38,277 and 84,492

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Solution

The third proportional to 38,277 and 84,492 is: 186,506.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,277 : 84,492 = 84,492 : x
  2. Step 2: Convert to fraction form
    38,277/84,492 = 84,492/x
  3. Step 3: Cross multiply
    38,277x = 84,492 × 84,492
  4. Step 4: Simplify right side
    38,277x = 7,138,898,064
  5. Step 5: Solve for x
    x = 7,138,898,064/38,277
  6. Step 6: Final answer
    x = 186,506.21

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.