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Finding the Third Proportional to 17,284 and 26,748

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Solution

The third proportional to 17,284 and 26,748 is: 41,394.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,284 : 26,748 = 26,748 : x
  2. Step 2: Convert to fraction form
    17,284/26,748 = 26,748/x
  3. Step 3: Cross multiply
    17,284x = 26,748 × 26,748
  4. Step 4: Simplify right side
    17,284x = 715,455,504
  5. Step 5: Solve for x
    x = 715,455,504/17,284
  6. Step 6: Final answer
    x = 41,394.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.