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Finding the Third Proportional to 5,000.91 and 10,730.81

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Solution

The third proportional to 5,000.91 and 10,730.81 is: 23,025.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,000.91 : 10,730.81 = 10,730.81 : x
  2. Step 2: Convert to fraction form
    5,000.91/10,730.81 = 10,730.81/x
  3. Step 3: Cross multiply
    5,000.91x = 10,730.81 × 10,730.81
  4. Step 4: Simplify right side
    5,000.91x = 115,150,336.91
  5. Step 5: Solve for x
    x = 115,150,336.91/5,000.91
  6. Step 6: Final answer
    x = 23,025.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.