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Finding the Third Proportional to 4,657.50 and 10,238.91

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Solution

The third proportional to 4,657.50 and 10,238.91 is: 22,508.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.50 : 10,238.91 = 10,238.91 : x
  2. Step 2: Convert to fraction form
    4,657.50/10,238.91 = 10,238.91/x
  3. Step 3: Cross multiply
    4,657.50x = 10,238.91 × 10,238.91
  4. Step 4: Simplify right side
    4,657.50x = 104,835,201.20
  5. Step 5: Solve for x
    x = 104,835,201.20/4,657.50
  6. Step 6: Final answer
    x = 22,508.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.