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Finding the Third Proportional to 17,663 and 26,495

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Solution

The third proportional to 17,663 and 26,495 is: 39,743.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,663 : 26,495 = 26,495 : x
  2. Step 2: Convert to fraction form
    17,663/26,495 = 26,495/x
  3. Step 3: Cross multiply
    17,663x = 26,495 × 26,495
  4. Step 4: Simplify right side
    17,663x = 701,985,025
  5. Step 5: Solve for x
    x = 701,985,025/17,663
  6. Step 6: Final answer
    x = 39,743.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.