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Finding the Third Proportional to 17,531 and 26,479

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Solution

The third proportional to 17,531 and 26,479 is: 39,994.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,531 : 26,479 = 26,479 : x
  2. Step 2: Convert to fraction form
    17,531/26,479 = 26,479/x
  3. Step 3: Cross multiply
    17,531x = 26,479 × 26,479
  4. Step 4: Simplify right side
    17,531x = 701,137,441
  5. Step 5: Solve for x
    x = 701,137,441/17,531
  6. Step 6: Final answer
    x = 39,994.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.