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Finding the Third Proportional to 17,646 and 26,138.25

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Solution

The third proportional to 17,646 and 26,138.25 is: 38,717.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,646 : 26,138.25 = 26,138.25 : x
  2. Step 2: Convert to fraction form
    17,646/26,138.25 = 26,138.25/x
  3. Step 3: Cross multiply
    17,646x = 26,138.25 × 26,138.25
  4. Step 4: Simplify right side
    17,646x = 683,208,113.06
  5. Step 5: Solve for x
    x = 683,208,113.06/17,646
  6. Step 6: Final answer
    x = 38,717.45

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.