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Finding the Third Proportional to 12,994.50 and 30,367.13

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Solution

The third proportional to 12,994.50 and 30,367.13 is: 70,965.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,994.50 : 30,367.13 = 30,367.13 : x
  2. Step 2: Convert to fraction form
    12,994.50/30,367.13 = 30,367.13/x
  3. Step 3: Cross multiply
    12,994.50x = 30,367.13 × 30,367.13
  4. Step 4: Simplify right side
    12,994.50x = 922,162,280.77
  5. Step 5: Solve for x
    x = 922,162,280.77/12,994.50
  6. Step 6: Final answer
    x = 70,965.58

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.