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Finding the Third Proportional to 4,951.50 and 10,774.13

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Solution

The third proportional to 4,951.50 and 10,774.13 is: 23,443.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,951.50 : 10,774.13 = 10,774.13 : x
  2. Step 2: Convert to fraction form
    4,951.50/10,774.13 = 10,774.13/x
  3. Step 3: Cross multiply
    4,951.50x = 10,774.13 × 10,774.13
  4. Step 4: Simplify right side
    4,951.50x = 116,081,769.52
  5. Step 5: Solve for x
    x = 116,081,769.52/4,951.50
  6. Step 6: Final answer
    x = 23,443.76

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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.