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Finding the Third Proportional to 15,329 and 21,109

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Solution

The third proportional to 15,329 and 21,109 is: 29,068.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,329 : 21,109 = 21,109 : x
  2. Step 2: Convert to fraction form
    15,329/21,109 = 21,109/x
  3. Step 3: Cross multiply
    15,329x = 21,109 × 21,109
  4. Step 4: Simplify right side
    15,329x = 445,589,881
  5. Step 5: Solve for x
    x = 445,589,881/15,329
  6. Step 6: Final answer
    x = 29,068.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.