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Finding the Third Proportional to 17,309 and 27,122

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Solution

The third proportional to 17,309 and 27,122 is: 42,498.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,309 : 27,122 = 27,122 : x
  2. Step 2: Convert to fraction form
    17,309/27,122 = 27,122/x
  3. Step 3: Cross multiply
    17,309x = 27,122 × 27,122
  4. Step 4: Simplify right side
    17,309x = 735,602,884
  5. Step 5: Solve for x
    x = 735,602,884/17,309
  6. Step 6: Final answer
    x = 42,498.29

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.