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Finding the Third Proportional to 12,901.78 and 31,069.83

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Solution

The third proportional to 12,901.78 and 31,069.83 is: 74,821.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,901.78 : 31,069.83 = 31,069.83 : x
  2. Step 2: Convert to fraction form
    12,901.78/31,069.83 = 31,069.83/x
  3. Step 3: Cross multiply
    12,901.78x = 31,069.83 × 31,069.83
  4. Step 4: Simplify right side
    12,901.78x = 965,334,219.72
  5. Step 5: Solve for x
    x = 965,334,219.72/12,901.78
  6. Step 6: Final answer
    x = 74,821.78

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.