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Finding the Third Proportional to 7,943.06 and 17,269.45

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Solution

The third proportional to 7,943.06 and 17,269.45 is: 37,546.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,943.06 : 17,269.45 = 17,269.45 : x
  2. Step 2: Convert to fraction form
    7,943.06/17,269.45 = 17,269.45/x
  3. Step 3: Cross multiply
    7,943.06x = 17,269.45 × 17,269.45
  4. Step 4: Simplify right side
    7,943.06x = 298,234,011.24
  5. Step 5: Solve for x
    x = 298,234,011.24/7,943.06
  6. Step 6: Final answer
    x = 37,546.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.