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Finding the Third Proportional to 14,234.25 and 21,397.13

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Solution

The third proportional to 14,234.25 and 21,397.13 is: 32,164.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,234.25 : 21,397.13 = 21,397.13 : x
  2. Step 2: Convert to fraction form
    14,234.25/21,397.13 = 21,397.13/x
  3. Step 3: Cross multiply
    14,234.25x = 21,397.13 × 21,397.13
  4. Step 4: Simplify right side
    14,234.25x = 457,836,958.27
  5. Step 5: Solve for x
    x = 457,836,958.27/14,234.25
  6. Step 6: Final answer
    x = 32,164.46

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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.