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Finding the Third Proportional to 5,059.13 and 10,319.27

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Solution

The third proportional to 5,059.13 and 10,319.27 is: 21,048.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,059.13 : 10,319.27 = 10,319.27 : x
  2. Step 2: Convert to fraction form
    5,059.13/10,319.27 = 10,319.27/x
  3. Step 3: Cross multiply
    5,059.13x = 10,319.27 × 10,319.27
  4. Step 4: Simplify right side
    5,059.13x = 106,487,404.28
  5. Step 5: Solve for x
    x = 106,487,404.28/5,059.13
  6. Step 6: Final answer
    x = 21,048.58

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.