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Finding the Third Proportional to 5,240.25 and 10,905.75

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Solution

The third proportional to 5,240.25 and 10,905.75 is: 22,696.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,240.25 : 10,905.75 = 10,905.75 : x
  2. Step 2: Convert to fraction form
    5,240.25/10,905.75 = 10,905.75/x
  3. Step 3: Cross multiply
    5,240.25x = 10,905.75 × 10,905.75
  4. Step 4: Simplify right side
    5,240.25x = 118,935,383.06
  5. Step 5: Solve for x
    x = 118,935,383.06/5,240.25
  6. Step 6: Final answer
    x = 22,696.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.