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Finding the Third Proportional to 12,577.78 and 27,076.78

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Solution

The third proportional to 12,577.78 and 27,076.78 is: 58,289.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,577.78 : 27,076.78 = 27,076.78 : x
  2. Step 2: Convert to fraction form
    12,577.78/27,076.78 = 27,076.78/x
  3. Step 3: Cross multiply
    12,577.78x = 27,076.78 × 27,076.78
  4. Step 4: Simplify right side
    12,577.78x = 733,152,082.86
  5. Step 5: Solve for x
    x = 733,152,082.86/12,577.78
  6. Step 6: Final answer
    x = 58,289.46

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.