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Finding the Third Proportional to 38,774.25 and 80,428.50

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Solution

The third proportional to 38,774.25 and 80,428.50 is: 166,830.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,774.25 : 80,428.50 = 80,428.50 : x
  2. Step 2: Convert to fraction form
    38,774.25/80,428.50 = 80,428.50/x
  3. Step 3: Cross multiply
    38,774.25x = 80,428.50 × 80,428.50
  4. Step 4: Simplify right side
    38,774.25x = 6,468,743,612.25
  5. Step 5: Solve for x
    x = 6,468,743,612.25/38,774.25
  6. Step 6: Final answer
    x = 166,830.92

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.