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Finding the Third Proportional to 12,693.25 and 27,505

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Solution

The third proportional to 12,693.25 and 27,505 is: 59,600.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,693.25 : 27,505 = 27,505 : x
  2. Step 2: Convert to fraction form
    12,693.25/27,505 = 27,505/x
  3. Step 3: Cross multiply
    12,693.25x = 27,505 × 27,505
  4. Step 4: Simplify right side
    12,693.25x = 756,525,025
  5. Step 5: Solve for x
    x = 756,525,025/12,693.25
  6. Step 6: Final answer
    x = 59,600.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.