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Finding the Third Proportional to 37,176.75 and 59,846.63

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Solution

The third proportional to 37,176.75 and 59,846.63 is: 96,340.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,176.75 : 59,846.63 = 59,846.63 : x
  2. Step 2: Convert to fraction form
    37,176.75/59,846.63 = 59,846.63/x
  3. Step 3: Cross multiply
    37,176.75x = 59,846.63 × 59,846.63
  4. Step 4: Simplify right side
    37,176.75x = 3,581,618,523.89
  5. Step 5: Solve for x
    x = 3,581,618,523.89/37,176.75
  6. Step 6: Final answer
    x = 96,340.28

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.