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Finding the Third Proportional to 17,508 and 27,306

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Solution

The third proportional to 17,508 and 27,306 is: 42,587.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,508 : 27,306 = 27,306 : x
  2. Step 2: Convert to fraction form
    17,508/27,306 = 27,306/x
  3. Step 3: Cross multiply
    17,508x = 27,306 × 27,306
  4. Step 4: Simplify right side
    17,508x = 745,617,636
  5. Step 5: Solve for x
    x = 745,617,636/17,508
  6. Step 6: Final answer
    x = 42,587.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.