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Finding the Third Proportional to 37,324.88 and 81,210.75

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Solution

The third proportional to 37,324.88 and 81,210.75 is: 176,696.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,324.88 : 81,210.75 = 81,210.75 : x
  2. Step 2: Convert to fraction form
    37,324.88/81,210.75 = 81,210.75/x
  3. Step 3: Cross multiply
    37,324.88x = 81,210.75 × 81,210.75
  4. Step 4: Simplify right side
    37,324.88x = 6,595,185,915.56
  5. Step 5: Solve for x
    x = 6,595,185,915.56/37,324.88
  6. Step 6: Final answer
    x = 176,696.80

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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.