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Finding the Third Proportional to 7,903.97 and 11,908.13

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Solution

The third proportional to 7,903.97 and 11,908.13 is: 17,940.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,903.97 : 11,908.13 = 11,908.13 : x
  2. Step 2: Convert to fraction form
    7,903.97/11,908.13 = 11,908.13/x
  3. Step 3: Cross multiply
    7,903.97x = 11,908.13 × 11,908.13
  4. Step 4: Simplify right side
    7,903.97x = 141,803,441.02
  5. Step 5: Solve for x
    x = 141,803,441.02/7,903.97
  6. Step 6: Final answer
    x = 17,940.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.