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Finding the Third Proportional to 40,348 and 82,336

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Solution

The third proportional to 40,348 and 82,336 is: 168,018.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,348 : 82,336 = 82,336 : x
  2. Step 2: Convert to fraction form
    40,348/82,336 = 82,336/x
  3. Step 3: Cross multiply
    40,348x = 82,336 × 82,336
  4. Step 4: Simplify right side
    40,348x = 6,779,216,896
  5. Step 5: Solve for x
    x = 6,779,216,896/40,348
  6. Step 6: Final answer
    x = 168,018.66

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.