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Finding the Third Proportional to 9,644.06 and 14,514.19

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Solution

The third proportional to 9,644.06 and 14,514.19 is: 21,843.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.06 : 14,514.19 = 14,514.19 : x
  2. Step 2: Convert to fraction form
    9,644.06/14,514.19 = 14,514.19/x
  3. Step 3: Cross multiply
    9,644.06x = 14,514.19 × 14,514.19
  4. Step 4: Simplify right side
    9,644.06x = 210,661,638.79
  5. Step 5: Solve for x
    x = 210,661,638.79/9,644.06
  6. Step 6: Final answer
    x = 21,843.66

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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.