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Finding the Third Proportional to 4,891.50 and 10,475.44

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Solution

The third proportional to 4,891.50 and 10,475.44 is: 22,433.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,891.50 : 10,475.44 = 10,475.44 : x
  2. Step 2: Convert to fraction form
    4,891.50/10,475.44 = 10,475.44/x
  3. Step 3: Cross multiply
    4,891.50x = 10,475.44 × 10,475.44
  4. Step 4: Simplify right side
    4,891.50x = 109,734,790.82
  5. Step 5: Solve for x
    x = 109,734,790.82/4,891.50
  6. Step 6: Final answer
    x = 22,433.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.