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Finding the Third Proportional to 49,880.25 and 72,963

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Solution

The third proportional to 49,880.25 and 72,963 is: 106,727.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,880.25 : 72,963 = 72,963 : x
  2. Step 2: Convert to fraction form
    49,880.25/72,963 = 72,963/x
  3. Step 3: Cross multiply
    49,880.25x = 72,963 × 72,963
  4. Step 4: Simplify right side
    49,880.25x = 5,323,599,369
  5. Step 5: Solve for x
    x = 5,323,599,369/49,880.25
  6. Step 6: Final answer
    x = 106,727.60

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.