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Finding the Third Proportional to 14,642 and 21,339

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Solution

The third proportional to 14,642 and 21,339 is: 31,099.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,642 : 21,339 = 21,339 : x
  2. Step 2: Convert to fraction form
    14,642/21,339 = 21,339/x
  3. Step 3: Cross multiply
    14,642x = 21,339 × 21,339
  4. Step 4: Simplify right side
    14,642x = 455,352,921
  5. Step 5: Solve for x
    x = 455,352,921/14,642
  6. Step 6: Final answer
    x = 31,099.09

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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.