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Finding the Third Proportional to 4,922.65 and 7,366.89

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Solution

The third proportional to 4,922.65 and 7,366.89 is: 11,024.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,922.65 : 7,366.89 = 7,366.89 : x
  2. Step 2: Convert to fraction form
    4,922.65/7,366.89 = 7,366.89/x
  3. Step 3: Cross multiply
    4,922.65x = 7,366.89 × 7,366.89
  4. Step 4: Simplify right side
    4,922.65x = 54,271,019.93
  5. Step 5: Solve for x
    x = 54,271,019.93/4,922.65
  6. Step 6: Final answer
    x = 11,024.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.