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Finding the Third Proportional to 5,085.28 and 10,497.09

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Solution

The third proportional to 5,085.28 and 10,497.09 is: 21,668.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,085.28 : 10,497.09 = 10,497.09 : x
  2. Step 2: Convert to fraction form
    5,085.28/10,497.09 = 10,497.09/x
  3. Step 3: Cross multiply
    5,085.28x = 10,497.09 × 10,497.09
  4. Step 4: Simplify right side
    5,085.28x = 110,188,977.20
  5. Step 5: Solve for x
    x = 110,188,977.20/5,085.28
  6. Step 6: Final answer
    x = 21,668.22

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.