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Finding the Third Proportional to 3,176.44 and 4,908.66

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Solution

The third proportional to 3,176.44 and 4,908.66 is: 7,585.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.44 : 4,908.66 = 4,908.66 : x
  2. Step 2: Convert to fraction form
    3,176.44/4,908.66 = 4,908.66/x
  3. Step 3: Cross multiply
    3,176.44x = 4,908.66 × 4,908.66
  4. Step 4: Simplify right side
    3,176.44x = 24,094,906.18
  5. Step 5: Solve for x
    x = 24,094,906.18/3,176.44
  6. Step 6: Final answer
    x = 7,585.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.