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Finding the Third Proportional to 12,767.63 and 27,057.38

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Solution

The third proportional to 12,767.63 and 27,057.38 is: 57,340.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,767.63 : 27,057.38 = 27,057.38 : x
  2. Step 2: Convert to fraction form
    12,767.63/27,057.38 = 27,057.38/x
  3. Step 3: Cross multiply
    12,767.63x = 27,057.38 × 27,057.38
  4. Step 4: Simplify right side
    12,767.63x = 732,101,541.89
  5. Step 5: Solve for x
    x = 732,101,541.89/12,767.63
  6. Step 6: Final answer
    x = 57,340.46

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.