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Finding the Third Proportional to 37,963 and 57,880.50

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Solution

The third proportional to 37,963 and 57,880.50 is: 88,247.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,963 : 57,880.50 = 57,880.50 : x
  2. Step 2: Convert to fraction form
    37,963/57,880.50 = 57,880.50/x
  3. Step 3: Cross multiply
    37,963x = 57,880.50 × 57,880.50
  4. Step 4: Simplify right side
    37,963x = 3,350,152,280.25
  5. Step 5: Solve for x
    x = 3,350,152,280.25/37,963
  6. Step 6: Final answer
    x = 88,247.83

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.