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Finding the Third Proportional to 9,601.88 and 14,596.88

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Solution

The third proportional to 9,601.88 and 14,596.88 is: 22,190.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,601.88 : 14,596.88 = 14,596.88 : x
  2. Step 2: Convert to fraction form
    9,601.88/14,596.88 = 14,596.88/x
  3. Step 3: Cross multiply
    9,601.88x = 14,596.88 × 14,596.88
  4. Step 4: Simplify right side
    9,601.88x = 213,068,759.77
  5. Step 5: Solve for x
    x = 213,068,759.77/9,601.88
  6. Step 6: Final answer
    x = 22,190.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.