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Finding the Third Proportional to 12,901.78 and 34,771.78

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Solution

The third proportional to 12,901.78 and 34,771.78 is: 93,713.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,901.78 : 34,771.78 = 34,771.78 : x
  2. Step 2: Convert to fraction form
    12,901.78/34,771.78 = 34,771.78/x
  3. Step 3: Cross multiply
    12,901.78x = 34,771.78 × 34,771.78
  4. Step 4: Simplify right side
    12,901.78x = 1,209,076,771.30
  5. Step 5: Solve for x
    x = 1,209,076,771.30/12,901.78
  6. Step 6: Final answer
    x = 93,713.94

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These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.