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Finding the Third Proportional to 6,580.13 and 13,424.63

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Solution

The third proportional to 6,580.13 and 13,424.63 is: 27,388.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.13 : 13,424.63 = 13,424.63 : x
  2. Step 2: Convert to fraction form
    6,580.13/13,424.63 = 13,424.63/x
  3. Step 3: Cross multiply
    6,580.13x = 13,424.63 × 13,424.63
  4. Step 4: Simplify right side
    6,580.13x = 180,220,556.39
  5. Step 5: Solve for x
    x = 180,220,556.39/6,580.13
  6. Step 6: Final answer
    x = 27,388.62

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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.