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Finding the Third Proportional to 4,944.25 and 10,800.25

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Solution

The third proportional to 4,944.25 and 10,800.25 is: 23,592.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,944.25 : 10,800.25 = 10,800.25 : x
  2. Step 2: Convert to fraction form
    4,944.25/10,800.25 = 10,800.25/x
  3. Step 3: Cross multiply
    4,944.25x = 10,800.25 × 10,800.25
  4. Step 4: Simplify right side
    4,944.25x = 116,645,400.06
  5. Step 5: Solve for x
    x = 116,645,400.06/4,944.25
  6. Step 6: Final answer
    x = 23,592.13

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.