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Finding the Third Proportional to 9,659.25 and 14,511.66

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Solution

The third proportional to 9,659.25 and 14,511.66 is: 21,801.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.25 : 14,511.66 = 14,511.66 : x
  2. Step 2: Convert to fraction form
    9,659.25/14,511.66 = 14,511.66/x
  3. Step 3: Cross multiply
    9,659.25x = 14,511.66 × 14,511.66
  4. Step 4: Simplify right side
    9,659.25x = 210,588,167.12
  5. Step 5: Solve for x
    x = 210,588,167.12/9,659.25
  6. Step 6: Final answer
    x = 21,801.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.