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Finding the Third Proportional to 9,672.75 and 14,497.13

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Solution

The third proportional to 9,672.75 and 14,497.13 is: 21,727.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.75 : 14,497.13 = 14,497.13 : x
  2. Step 2: Convert to fraction form
    9,672.75/14,497.13 = 14,497.13/x
  3. Step 3: Cross multiply
    9,672.75x = 14,497.13 × 14,497.13
  4. Step 4: Simplify right side
    9,672.75x = 210,166,633.27
  5. Step 5: Solve for x
    x = 210,166,633.27/9,672.75
  6. Step 6: Final answer
    x = 21,727.70

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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.