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Finding the Third Proportional to 9,684.94 and 13,708.88

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Solution

The third proportional to 9,684.94 and 13,708.88 is: 19,404.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.94 : 13,708.88 = 13,708.88 : x
  2. Step 2: Convert to fraction form
    9,684.94/13,708.88 = 13,708.88/x
  3. Step 3: Cross multiply
    9,684.94x = 13,708.88 × 13,708.88
  4. Step 4: Simplify right side
    9,684.94x = 187,933,253.77
  5. Step 5: Solve for x
    x = 187,933,253.77/9,684.94
  6. Step 6: Final answer
    x = 19,404.69

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.