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Finding the Third Proportional to 38,492 and 84,340

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Solution

The third proportional to 38,492 and 84,340 is: 184,797.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,492 : 84,340 = 84,340 : x
  2. Step 2: Convert to fraction form
    38,492/84,340 = 84,340/x
  3. Step 3: Cross multiply
    38,492x = 84,340 × 84,340
  4. Step 4: Simplify right side
    38,492x = 7,113,235,600
  5. Step 5: Solve for x
    x = 7,113,235,600/38,492
  6. Step 6: Final answer
    x = 184,797.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.