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Finding the Third Proportional to 34,764 and 55,971

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Solution

The third proportional to 34,764 and 55,971 is: 90,114.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,764 : 55,971 = 55,971 : x
  2. Step 2: Convert to fraction form
    34,764/55,971 = 55,971/x
  3. Step 3: Cross multiply
    34,764x = 55,971 × 55,971
  4. Step 4: Simplify right side
    34,764x = 3,132,752,841
  5. Step 5: Solve for x
    x = 3,132,752,841/34,764
  6. Step 6: Final answer
    x = 90,114.86

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.