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Finding the Third Proportional to 37,179 and 59,849.50

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Solution

The third proportional to 37,179 and 59,849.50 is: 96,343.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,179 : 59,849.50 = 59,849.50 : x
  2. Step 2: Convert to fraction form
    37,179/59,849.50 = 59,849.50/x
  3. Step 3: Cross multiply
    37,179x = 59,849.50 × 59,849.50
  4. Step 4: Simplify right side
    37,179x = 3,581,962,650.25
  5. Step 5: Solve for x
    x = 3,581,962,650.25/37,179
  6. Step 6: Final answer
    x = 96,343.71

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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.