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Finding the Third Proportional to 14,030 and 21,147

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Solution

The third proportional to 14,030 and 21,147 is: 31,874.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,030 : 21,147 = 21,147 : x
  2. Step 2: Convert to fraction form
    14,030/21,147 = 21,147/x
  3. Step 3: Cross multiply
    14,030x = 21,147 × 21,147
  4. Step 4: Simplify right side
    14,030x = 447,195,609
  5. Step 5: Solve for x
    x = 447,195,609/14,030
  6. Step 6: Final answer
    x = 31,874.24

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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.