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Finding the Third Proportional to 17,335 and 26,767

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Solution

The third proportional to 17,335 and 26,767 is: 41,330.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,335 : 26,767 = 26,767 : x
  2. Step 2: Convert to fraction form
    17,335/26,767 = 26,767/x
  3. Step 3: Cross multiply
    17,335x = 26,767 × 26,767
  4. Step 4: Simplify right side
    17,335x = 716,472,289
  5. Step 5: Solve for x
    x = 716,472,289/17,335
  6. Step 6: Final answer
    x = 41,330.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.