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Finding the Third Proportional to 17,802 and 26,191

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Solution

The third proportional to 17,802 and 26,191 is: 38,533.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,802 : 26,191 = 26,191 : x
  2. Step 2: Convert to fraction form
    17,802/26,191 = 26,191/x
  3. Step 3: Cross multiply
    17,802x = 26,191 × 26,191
  4. Step 4: Simplify right side
    17,802x = 685,968,481
  5. Step 5: Solve for x
    x = 685,968,481/17,802
  6. Step 6: Final answer
    x = 38,533.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.