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Finding the Third Proportional to 11,228.63 and 16,437.94

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Solution

The third proportional to 11,228.63 and 16,437.94 is: 24,064.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,228.63 : 16,437.94 = 16,437.94 : x
  2. Step 2: Convert to fraction form
    11,228.63/16,437.94 = 16,437.94/x
  3. Step 3: Cross multiply
    11,228.63x = 16,437.94 × 16,437.94
  4. Step 4: Simplify right side
    11,228.63x = 270,205,789.25
  5. Step 5: Solve for x
    x = 270,205,789.25/11,228.63
  6. Step 6: Final answer
    x = 24,064.01

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.