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Finding the Third Proportional to 39,418 and 83,276

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Solution

The third proportional to 39,418 and 83,276 is: 175,932.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,418 : 83,276 = 83,276 : x
  2. Step 2: Convert to fraction form
    39,418/83,276 = 83,276/x
  3. Step 3: Cross multiply
    39,418x = 83,276 × 83,276
  4. Step 4: Simplify right side
    39,418x = 6,934,892,176
  5. Step 5: Solve for x
    x = 6,934,892,176/39,418
  6. Step 6: Final answer
    x = 175,932.12

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.