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Finding the Third Proportional to 7,783.91 and 16,121.69

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Solution

The third proportional to 7,783.91 and 16,121.69 is: 33,390.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.91 : 16,121.69 = 16,121.69 : x
  2. Step 2: Convert to fraction form
    7,783.91/16,121.69 = 16,121.69/x
  3. Step 3: Cross multiply
    7,783.91x = 16,121.69 × 16,121.69
  4. Step 4: Simplify right side
    7,783.91x = 259,908,870.82
  5. Step 5: Solve for x
    x = 259,908,870.82/7,783.91
  6. Step 6: Final answer
    x = 33,390.53

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.