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Finding the Third Proportional to 34,610.25 and 54,222

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Solution

The third proportional to 34,610.25 and 54,222 is: 84,946.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,610.25 : 54,222 = 54,222 : x
  2. Step 2: Convert to fraction form
    34,610.25/54,222 = 54,222/x
  3. Step 3: Cross multiply
    34,610.25x = 54,222 × 54,222
  4. Step 4: Simplify right side
    34,610.25x = 2,940,025,284
  5. Step 5: Solve for x
    x = 2,940,025,284/34,610.25
  6. Step 6: Final answer
    x = 84,946.66

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.