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Finding the Third Proportional to 38,512 and 83,342

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Solution

The third proportional to 38,512 and 83,342 is: 180,356.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,512 : 83,342 = 83,342 : x
  2. Step 2: Convert to fraction form
    38,512/83,342 = 83,342/x
  3. Step 3: Cross multiply
    38,512x = 83,342 × 83,342
  4. Step 4: Simplify right side
    38,512x = 6,945,888,964
  5. Step 5: Solve for x
    x = 6,945,888,964/38,512
  6. Step 6: Final answer
    x = 180,356.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.