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Finding the Third Proportional to 11,015 and 23,285.75

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Solution

The third proportional to 11,015 and 23,285.75 is: 49,226.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,015 : 23,285.75 = 23,285.75 : x
  2. Step 2: Convert to fraction form
    11,015/23,285.75 = 23,285.75/x
  3. Step 3: Cross multiply
    11,015x = 23,285.75 × 23,285.75
  4. Step 4: Simplify right side
    11,015x = 542,226,153.06
  5. Step 5: Solve for x
    x = 542,226,153.06/11,015
  6. Step 6: Final answer
    x = 49,226.16

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.