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Finding the Third Proportional to 38,381.25 and 82,594.50

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Solution

The third proportional to 38,381.25 and 82,594.50 is: 177,739.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,381.25 : 82,594.50 = 82,594.50 : x
  2. Step 2: Convert to fraction form
    38,381.25/82,594.50 = 82,594.50/x
  3. Step 3: Cross multiply
    38,381.25x = 82,594.50 × 82,594.50
  4. Step 4: Simplify right side
    38,381.25x = 6,821,851,430.25
  5. Step 5: Solve for x
    x = 6,821,851,430.25/38,381.25
  6. Step 6: Final answer
    x = 177,739.17

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