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Finding the Third Proportional to 12,627.75 and 27,466.13

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Solution

The third proportional to 12,627.75 and 27,466.13 is: 59,740.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,627.75 : 27,466.13 = 27,466.13 : x
  2. Step 2: Convert to fraction form
    12,627.75/27,466.13 = 27,466.13/x
  3. Step 3: Cross multiply
    12,627.75x = 27,466.13 × 27,466.13
  4. Step 4: Simplify right side
    12,627.75x = 754,388,022.52
  5. Step 5: Solve for x
    x = 754,388,022.52/12,627.75
  6. Step 6: Final answer
    x = 59,740.49

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.