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Finding the Third Proportional to 27,718 and 60,971

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Solution

The third proportional to 27,718 and 60,971 is: 134,117.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,718 : 60,971 = 60,971 : x
  2. Step 2: Convert to fraction form
    27,718/60,971 = 60,971/x
  3. Step 3: Cross multiply
    27,718x = 60,971 × 60,971
  4. Step 4: Simplify right side
    27,718x = 3,717,462,841
  5. Step 5: Solve for x
    x = 3,717,462,841/27,718
  6. Step 6: Final answer
    x = 134,117.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.