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Finding the Third Proportional to 37,423.97 and 81,076.78

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Solution

The third proportional to 37,423.97 and 81,076.78 is: 175,647.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,423.97 : 81,076.78 = 81,076.78 : x
  2. Step 2: Convert to fraction form
    37,423.97/81,076.78 = 81,076.78/x
  3. Step 3: Cross multiply
    37,423.97x = 81,076.78 × 81,076.78
  4. Step 4: Simplify right side
    37,423.97x = 6,573,444,457.86
  5. Step 5: Solve for x
    x = 6,573,444,457.86/37,423.97
  6. Step 6: Final answer
    x = 175,647.98

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.