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Finding the Third Proportional to 4,612.91 and 7,162.38

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Solution

The third proportional to 4,612.91 and 7,162.38 is: 11,120.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.91 : 7,162.38 = 7,162.38 : x
  2. Step 2: Convert to fraction form
    4,612.91/7,162.38 = 7,162.38/x
  3. Step 3: Cross multiply
    4,612.91x = 7,162.38 × 7,162.38
  4. Step 4: Simplify right side
    4,612.91x = 51,299,615.64
  5. Step 5: Solve for x
    x = 51,299,615.64/4,612.91
  6. Step 6: Final answer
    x = 11,120.89

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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.