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Finding the Third Proportional to 7,176.09 and 15,684.89

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Solution

The third proportional to 7,176.09 and 15,684.89 is: 34,282.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,176.09 : 15,684.89 = 15,684.89 : x
  2. Step 2: Convert to fraction form
    7,176.09/15,684.89 = 15,684.89/x
  3. Step 3: Cross multiply
    7,176.09x = 15,684.89 × 15,684.89
  4. Step 4: Simplify right side
    7,176.09x = 246,015,793.92
  5. Step 5: Solve for x
    x = 246,015,793.92/7,176.09
  6. Step 6: Final answer
    x = 34,282.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.