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Finding the Third Proportional to 8,474.63 and 17,188.45

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Solution

The third proportional to 8,474.63 and 17,188.45 is: 34,862.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,474.63 : 17,188.45 = 17,188.45 : x
  2. Step 2: Convert to fraction form
    8,474.63/17,188.45 = 17,188.45/x
  3. Step 3: Cross multiply
    8,474.63x = 17,188.45 × 17,188.45
  4. Step 4: Simplify right side
    8,474.63x = 295,442,920.83
  5. Step 5: Solve for x
    x = 295,442,920.83/8,474.63
  6. Step 6: Final answer
    x = 34,862.06

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.