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Finding the Third Proportional to 11,762 and 17,971

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Solution

The third proportional to 11,762 and 17,971 is: 27,457.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762 : 17,971 = 17,971 : x
  2. Step 2: Convert to fraction form
    11,762/17,971 = 17,971/x
  3. Step 3: Cross multiply
    11,762x = 17,971 × 17,971
  4. Step 4: Simplify right side
    11,762x = 322,956,841
  5. Step 5: Solve for x
    x = 322,956,841/11,762
  6. Step 6: Final answer
    x = 27,457.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.