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Finding the Third Proportional to 10,917.25 and 23,392.25

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Solution

The third proportional to 10,917.25 and 23,392.25 is: 50,122.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,917.25 : 23,392.25 = 23,392.25 : x
  2. Step 2: Convert to fraction form
    10,917.25/23,392.25 = 23,392.25/x
  3. Step 3: Cross multiply
    10,917.25x = 23,392.25 × 23,392.25
  4. Step 4: Simplify right side
    10,917.25x = 547,197,360.06
  5. Step 5: Solve for x
    x = 547,197,360.06/10,917.25
  6. Step 6: Final answer
    x = 50,122.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.