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Finding the Third Proportional to 27,895 and 61,319

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Solution

The third proportional to 27,895 and 61,319 is: 134,791.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,895 : 61,319 = 61,319 : x
  2. Step 2: Convert to fraction form
    27,895/61,319 = 61,319/x
  3. Step 3: Cross multiply
    27,895x = 61,319 × 61,319
  4. Step 4: Simplify right side
    27,895x = 3,760,019,761
  5. Step 5: Solve for x
    x = 3,760,019,761/27,895
  6. Step 6: Final answer
    x = 134,791.89

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