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Finding the Third Proportional to 38,478 and 83,517

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Solution

The third proportional to 38,478 and 83,517 is: 181,274.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,478 : 83,517 = 83,517 : x
  2. Step 2: Convert to fraction form
    38,478/83,517 = 83,517/x
  3. Step 3: Cross multiply
    38,478x = 83,517 × 83,517
  4. Step 4: Simplify right side
    38,478x = 6,975,089,289
  5. Step 5: Solve for x
    x = 6,975,089,289/38,478
  6. Step 6: Final answer
    x = 181,274.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.