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Finding the Third Proportional to 14,427 and 21,758

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Solution

The third proportional to 14,427 and 21,758 is: 32,814.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,427 : 21,758 = 21,758 : x
  2. Step 2: Convert to fraction form
    14,427/21,758 = 21,758/x
  3. Step 3: Cross multiply
    14,427x = 21,758 × 21,758
  4. Step 4: Simplify right side
    14,427x = 473,410,564
  5. Step 5: Solve for x
    x = 473,410,564/14,427
  6. Step 6: Final answer
    x = 32,814.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.