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Finding the Third Proportional to 14,046 and 21,126

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Solution

The third proportional to 14,046 and 21,126 is: 31,774.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,046 : 21,126 = 21,126 : x
  2. Step 2: Convert to fraction form
    14,046/21,126 = 21,126/x
  3. Step 3: Cross multiply
    14,046x = 21,126 × 21,126
  4. Step 4: Simplify right side
    14,046x = 446,307,876
  5. Step 5: Solve for x
    x = 446,307,876/14,046
  6. Step 6: Final answer
    x = 31,774.73

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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.