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Finding the Third Proportional to 13,200.47 and 27,493.17

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Solution

The third proportional to 13,200.47 and 27,493.17 is: 57,261.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,200.47 : 27,493.17 = 27,493.17 : x
  2. Step 2: Convert to fraction form
    13,200.47/27,493.17 = 27,493.17/x
  3. Step 3: Cross multiply
    13,200.47x = 27,493.17 × 27,493.17
  4. Step 4: Simplify right side
    13,200.47x = 755,874,499.75
  5. Step 5: Solve for x
    x = 755,874,499.75/13,200.47
  6. Step 6: Final answer
    x = 57,261.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.