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Finding the Third Proportional to 9,537.75 and 14,144.63

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Solution

The third proportional to 9,537.75 and 14,144.63 is: 20,976.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537.75 : 14,144.63 = 14,144.63 : x
  2. Step 2: Convert to fraction form
    9,537.75/14,144.63 = 14,144.63/x
  3. Step 3: Cross multiply
    9,537.75x = 14,144.63 × 14,144.63
  4. Step 4: Simplify right side
    9,537.75x = 200,070,416.39
  5. Step 5: Solve for x
    x = 200,070,416.39/9,537.75
  6. Step 6: Final answer
    x = 20,976.69

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.