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Finding the Third Proportional to 7,362.75 and 15,717.75

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Solution

The third proportional to 7,362.75 and 15,717.75 is: 33,553.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,362.75 : 15,717.75 = 15,717.75 : x
  2. Step 2: Convert to fraction form
    7,362.75/15,717.75 = 15,717.75/x
  3. Step 3: Cross multiply
    7,362.75x = 15,717.75 × 15,717.75
  4. Step 4: Simplify right side
    7,362.75x = 247,047,665.06
  5. Step 5: Solve for x
    x = 247,047,665.06/7,362.75
  6. Step 6: Final answer
    x = 33,553.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.