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Finding the Third Proportional to 17,044 and 19,516

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Solution

The third proportional to 17,044 and 19,516 is: 22,346.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,044 : 19,516 = 19,516 : x
  2. Step 2: Convert to fraction form
    17,044/19,516 = 19,516/x
  3. Step 3: Cross multiply
    17,044x = 19,516 × 19,516
  4. Step 4: Simplify right side
    17,044x = 380,874,256
  5. Step 5: Solve for x
    x = 380,874,256/17,044
  6. Step 6: Final answer
    x = 22,346.53

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.