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Finding the Third Proportional to 38,327.50 and 82,484

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Solution

The third proportional to 38,327.50 and 82,484 is: 177,512.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,327.50 : 82,484 = 82,484 : x
  2. Step 2: Convert to fraction form
    38,327.50/82,484 = 82,484/x
  3. Step 3: Cross multiply
    38,327.50x = 82,484 × 82,484
  4. Step 4: Simplify right side
    38,327.50x = 6,803,610,256
  5. Step 5: Solve for x
    x = 6,803,610,256/38,327.50
  6. Step 6: Final answer
    x = 177,512.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.