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Finding the Third Proportional to 38,314 and 84,308

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Solution

The third proportional to 38,314 and 84,308 is: 185,515.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,314 : 84,308 = 84,308 : x
  2. Step 2: Convert to fraction form
    38,314/84,308 = 84,308/x
  3. Step 3: Cross multiply
    38,314x = 84,308 × 84,308
  4. Step 4: Simplify right side
    38,314x = 7,107,838,864
  5. Step 5: Solve for x
    x = 7,107,838,864/38,314
  6. Step 6: Final answer
    x = 185,515.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.