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Finding the Third Proportional to 14,038 and 21,092

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Solution

The third proportional to 14,038 and 21,092 is: 31,690.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,038 : 21,092 = 21,092 : x
  2. Step 2: Convert to fraction form
    14,038/21,092 = 21,092/x
  3. Step 3: Cross multiply
    14,038x = 21,092 × 21,092
  4. Step 4: Simplify right side
    14,038x = 444,872,464
  5. Step 5: Solve for x
    x = 444,872,464/14,038
  6. Step 6: Final answer
    x = 31,690.59

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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.