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Finding the Third Proportional to 37,867.50 and 42,099.75

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Solution

The third proportional to 37,867.50 and 42,099.75 is: 46,805.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,867.50 : 42,099.75 = 42,099.75 : x
  2. Step 2: Convert to fraction form
    37,867.50/42,099.75 = 42,099.75/x
  3. Step 3: Cross multiply
    37,867.50x = 42,099.75 × 42,099.75
  4. Step 4: Simplify right side
    37,867.50x = 1,772,388,950.06
  5. Step 5: Solve for x
    x = 1,772,388,950.06/37,867.50
  6. Step 6: Final answer
    x = 46,805.02

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.