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Finding the Third Proportional to 17,386 and 26,933

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Solution

The third proportional to 17,386 and 26,933 is: 41,722.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,386 : 26,933 = 26,933 : x
  2. Step 2: Convert to fraction form
    17,386/26,933 = 26,933/x
  3. Step 3: Cross multiply
    17,386x = 26,933 × 26,933
  4. Step 4: Simplify right side
    17,386x = 725,386,489
  5. Step 5: Solve for x
    x = 725,386,489/17,386
  6. Step 6: Final answer
    x = 41,722.45

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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.