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Finding the Third Proportional to 7,163.06 and 15,384.19

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Solution

The third proportional to 7,163.06 and 15,384.19 is: 33,040.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,163.06 : 15,384.19 = 15,384.19 : x
  2. Step 2: Convert to fraction form
    7,163.06/15,384.19 = 15,384.19/x
  3. Step 3: Cross multiply
    7,163.06x = 15,384.19 × 15,384.19
  4. Step 4: Simplify right side
    7,163.06x = 236,673,225.04
  5. Step 5: Solve for x
    x = 236,673,225.04/7,163.06
  6. Step 6: Final answer
    x = 33,040.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.