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Finding the Third Proportional to 5,956.03 and 9,106.17

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Solution

The third proportional to 5,956.03 and 9,106.17 is: 13,922.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,956.03 : 9,106.17 = 9,106.17 : x
  2. Step 2: Convert to fraction form
    5,956.03/9,106.17 = 9,106.17/x
  3. Step 3: Cross multiply
    5,956.03x = 9,106.17 × 9,106.17
  4. Step 4: Simplify right side
    5,956.03x = 82,922,366.22
  5. Step 5: Solve for x
    x = 82,922,366.22/5,956.03
  6. Step 6: Final answer
    x = 13,922.42

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.