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Finding the Third Proportional to 14,644 and 19,606

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Solution

The third proportional to 14,644 and 19,606 is: 26,249.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,644 : 19,606 = 19,606 : x
  2. Step 2: Convert to fraction form
    14,644/19,606 = 19,606/x
  3. Step 3: Cross multiply
    14,644x = 19,606 × 19,606
  4. Step 4: Simplify right side
    14,644x = 384,395,236
  5. Step 5: Solve for x
    x = 384,395,236/14,644
  6. Step 6: Final answer
    x = 26,249.33

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.