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Finding the Third Proportional to 17,773 and 26,011

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Solution

The third proportional to 17,773 and 26,011 is: 38,067.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,773 : 26,011 = 26,011 : x
  2. Step 2: Convert to fraction form
    17,773/26,011 = 26,011/x
  3. Step 3: Cross multiply
    17,773x = 26,011 × 26,011
  4. Step 4: Simplify right side
    17,773x = 676,572,121
  5. Step 5: Solve for x
    x = 676,572,121/17,773
  6. Step 6: Final answer
    x = 38,067.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.