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Finding the Third Proportional to 9,926 and 14,512

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Solution

The third proportional to 9,926 and 14,512 is: 21,216.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,926 : 14,512 = 14,512 : x
  2. Step 2: Convert to fraction form
    9,926/14,512 = 14,512/x
  3. Step 3: Cross multiply
    9,926x = 14,512 × 14,512
  4. Step 4: Simplify right side
    9,926x = 210,598,144
  5. Step 5: Solve for x
    x = 210,598,144/9,926
  6. Step 6: Final answer
    x = 21,216.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.