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Finding the Third Proportional to 23,033.25 and 34,894.13

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Solution

The third proportional to 23,033.25 and 34,894.13 is: 52,862.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,033.25 : 34,894.13 = 34,894.13 : x
  2. Step 2: Convert to fraction form
    23,033.25/34,894.13 = 34,894.13/x
  3. Step 3: Cross multiply
    23,033.25x = 34,894.13 × 34,894.13
  4. Step 4: Simplify right side
    23,033.25x = 1,217,599,959.52
  5. Step 5: Solve for x
    x = 1,217,599,959.52/23,033.25
  6. Step 6: Final answer
    x = 52,862.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.