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Finding the Third Proportional to 17,698 and 24,796

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Solution

The third proportional to 17,698 and 24,796 is: 34,740.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,698 : 24,796 = 24,796 : x
  2. Step 2: Convert to fraction form
    17,698/24,796 = 24,796/x
  3. Step 3: Cross multiply
    17,698x = 24,796 × 24,796
  4. Step 4: Simplify right side
    17,698x = 614,841,616
  5. Step 5: Solve for x
    x = 614,841,616/17,698
  6. Step 6: Final answer
    x = 34,740.74

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.