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Finding the Third Proportional to 12,154.50 and 16,154.44

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Solution

The third proportional to 12,154.50 and 16,154.44 is: 21,470.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,154.50 : 16,154.44 = 16,154.44 : x
  2. Step 2: Convert to fraction form
    12,154.50/16,154.44 = 16,154.44/x
  3. Step 3: Cross multiply
    12,154.50x = 16,154.44 × 16,154.44
  4. Step 4: Simplify right side
    12,154.50x = 260,965,850.94
  5. Step 5: Solve for x
    x = 260,965,850.94/12,154.50
  6. Step 6: Final answer
    x = 21,470.72

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.