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Finding the Third Proportional to 37,208.25 and 87,816.38

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Solution

The third proportional to 37,208.25 and 87,816.38 is: 207,258.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,208.25 : 87,816.38 = 87,816.38 : x
  2. Step 2: Convert to fraction form
    37,208.25/87,816.38 = 87,816.38/x
  3. Step 3: Cross multiply
    37,208.25x = 87,816.38 × 87,816.38
  4. Step 4: Simplify right side
    37,208.25x = 7,711,715,718.14
  5. Step 5: Solve for x
    x = 7,711,715,718.14/37,208.25
  6. Step 6: Final answer
    x = 207,258.22

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.