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Finding the Third Proportional to 38,898.75 and 79,224

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Solution

The third proportional to 38,898.75 and 79,224 is: 161,353.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,898.75 : 79,224 = 79,224 : x
  2. Step 2: Convert to fraction form
    38,898.75/79,224 = 79,224/x
  3. Step 3: Cross multiply
    38,898.75x = 79,224 × 79,224
  4. Step 4: Simplify right side
    38,898.75x = 6,276,442,176
  5. Step 5: Solve for x
    x = 6,276,442,176/38,898.75
  6. Step 6: Final answer
    x = 161,353.31

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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.