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Finding the Third Proportional to 37,660.78 and 51,641.30

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Solution

The third proportional to 37,660.78 and 51,641.30 is: 70,811.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,660.78 : 51,641.30 = 51,641.30 : x
  2. Step 2: Convert to fraction form
    37,660.78/51,641.30 = 51,641.30/x
  3. Step 3: Cross multiply
    37,660.78x = 51,641.30 × 51,641.30
  4. Step 4: Simplify right side
    37,660.78x = 2,666,823,542.93
  5. Step 5: Solve for x
    x = 2,666,823,542.93/37,660.78
  6. Step 6: Final answer
    x = 70,811.69

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.