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Finding the Third Proportional to 12,894.19 and 30,754.69

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Solution

The third proportional to 12,894.19 and 30,754.69 is: 73,354.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.19 : 30,754.69 = 30,754.69 : x
  2. Step 2: Convert to fraction form
    12,894.19/30,754.69 = 30,754.69/x
  3. Step 3: Cross multiply
    12,894.19x = 30,754.69 × 30,754.69
  4. Step 4: Simplify right side
    12,894.19x = 945,850,803.22
  5. Step 5: Solve for x
    x = 945,850,803.22/12,894.19
  6. Step 6: Final answer
    x = 73,354.82

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These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.