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Finding the Third Proportional to 9,934.88 and 13,924.69

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Solution

The third proportional to 9,934.88 and 13,924.69 is: 19,516.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,934.88 : 13,924.69 = 13,924.69 : x
  2. Step 2: Convert to fraction form
    9,934.88/13,924.69 = 13,924.69/x
  3. Step 3: Cross multiply
    9,934.88x = 13,924.69 × 13,924.69
  4. Step 4: Simplify right side
    9,934.88x = 193,896,921.97
  5. Step 5: Solve for x
    x = 193,896,921.97/9,934.88
  6. Step 6: Final answer
    x = 19,516.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.