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Finding the Third Proportional to 8,024.06 and 17,087.63

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Solution

The third proportional to 8,024.06 and 17,087.63 is: 36,388.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,024.06 : 17,087.63 = 17,087.63 : x
  2. Step 2: Convert to fraction form
    8,024.06/17,087.63 = 17,087.63/x
  3. Step 3: Cross multiply
    8,024.06x = 17,087.63 × 17,087.63
  4. Step 4: Simplify right side
    8,024.06x = 291,986,928.14
  5. Step 5: Solve for x
    x = 291,986,928.14/8,024.06
  6. Step 6: Final answer
    x = 36,388.91

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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.