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Finding the Third Proportional to 18,963 and 45,949.50

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Solution

The third proportional to 18,963 and 45,949.50 is: 111,340.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,963 : 45,949.50 = 45,949.50 : x
  2. Step 2: Convert to fraction form
    18,963/45,949.50 = 45,949.50/x
  3. Step 3: Cross multiply
    18,963x = 45,949.50 × 45,949.50
  4. Step 4: Simplify right side
    18,963x = 2,111,356,550.25
  5. Step 5: Solve for x
    x = 2,111,356,550.25/18,963
  6. Step 6: Final answer
    x = 111,340.85

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.