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Finding the Third Proportional to 5,080.50 and 10,424.25

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Solution

The third proportional to 5,080.50 and 10,424.25 is: 21,388.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,080.50 : 10,424.25 = 10,424.25 : x
  2. Step 2: Convert to fraction form
    5,080.50/10,424.25 = 10,424.25/x
  3. Step 3: Cross multiply
    5,080.50x = 10,424.25 × 10,424.25
  4. Step 4: Simplify right side
    5,080.50x = 108,664,988.06
  5. Step 5: Solve for x
    x = 108,664,988.06/5,080.50
  6. Step 6: Final answer
    x = 21,388.64

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.