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Finding the Third Proportional to 5,039.09 and 10,746.42

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Solution

The third proportional to 5,039.09 and 10,746.42 is: 22,917.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,039.09 : 10,746.42 = 10,746.42 : x
  2. Step 2: Convert to fraction form
    5,039.09/10,746.42 = 10,746.42/x
  3. Step 3: Cross multiply
    5,039.09x = 10,746.42 × 10,746.42
  4. Step 4: Simplify right side
    5,039.09x = 115,485,583.12
  5. Step 5: Solve for x
    x = 115,485,583.12/5,039.09
  6. Step 6: Final answer
    x = 22,917.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.