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Finding the Third Proportional to 38,360.25 and 83,693.25

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Solution

The third proportional to 38,360.25 and 83,693.25 is: 182,599.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,360.25 : 83,693.25 = 83,693.25 : x
  2. Step 2: Convert to fraction form
    38,360.25/83,693.25 = 83,693.25/x
  3. Step 3: Cross multiply
    38,360.25x = 83,693.25 × 83,693.25
  4. Step 4: Simplify right side
    38,360.25x = 7,004,560,095.56
  5. Step 5: Solve for x
    x = 7,004,560,095.56/38,360.25
  6. Step 6: Final answer
    x = 182,599.44

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.