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Finding the Third Proportional to 4,800.38 and 10,533.94

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Solution

The third proportional to 4,800.38 and 10,533.94 is: 23,115.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,800.38 : 10,533.94 = 10,533.94 : x
  2. Step 2: Convert to fraction form
    4,800.38/10,533.94 = 10,533.94/x
  3. Step 3: Cross multiply
    4,800.38x = 10,533.94 × 10,533.94
  4. Step 4: Simplify right side
    4,800.38x = 110,963,839.25
  5. Step 5: Solve for x
    x = 110,963,839.25/4,800.38
  6. Step 6: Final answer
    x = 23,115.66

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.