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Finding the Third Proportional to 12,537.75 and 27,035.25

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Solution

The third proportional to 12,537.75 and 27,035.25 is: 58,296.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,537.75 : 27,035.25 = 27,035.25 : x
  2. Step 2: Convert to fraction form
    12,537.75/27,035.25 = 27,035.25/x
  3. Step 3: Cross multiply
    12,537.75x = 27,035.25 × 27,035.25
  4. Step 4: Simplify right side
    12,537.75x = 730,904,742.56
  5. Step 5: Solve for x
    x = 730,904,742.56/12,537.75
  6. Step 6: Final answer
    x = 58,296.32

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.