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Finding the Third Proportional to 14,396 and 21,530

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Solution

The third proportional to 14,396 and 21,530 is: 32,199.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,396 : 21,530 = 21,530 : x
  2. Step 2: Convert to fraction form
    14,396/21,530 = 21,530/x
  3. Step 3: Cross multiply
    14,396x = 21,530 × 21,530
  4. Step 4: Simplify right side
    14,396x = 463,540,900
  5. Step 5: Solve for x
    x = 463,540,900/14,396
  6. Step 6: Final answer
    x = 32,199.28

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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.