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Finding the Third Proportional to 11,214.38 and 16,216.13

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Solution

The third proportional to 11,214.38 and 16,216.13 is: 23,448.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,214.38 : 16,216.13 = 16,216.13 : x
  2. Step 2: Convert to fraction form
    11,214.38/16,216.13 = 16,216.13/x
  3. Step 3: Cross multiply
    11,214.38x = 16,216.13 × 16,216.13
  4. Step 4: Simplify right side
    11,214.38x = 262,962,710.02
  5. Step 5: Solve for x
    x = 262,962,710.02/11,214.38
  6. Step 6: Final answer
    x = 23,448.72

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.