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Finding the Third Proportional to 10,216.13 and 12,367.69

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Solution

The third proportional to 10,216.13 and 12,367.69 is: 14,972.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,216.13 : 12,367.69 = 12,367.69 : x
  2. Step 2: Convert to fraction form
    10,216.13/12,367.69 = 12,367.69/x
  3. Step 3: Cross multiply
    10,216.13x = 12,367.69 × 12,367.69
  4. Step 4: Simplify right side
    10,216.13x = 152,959,694.10
  5. Step 5: Solve for x
    x = 152,959,694.10/10,216.13
  6. Step 6: Final answer
    x = 14,972.38

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.