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Finding the Third Proportional to 23,006.50 and 34,625.50

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Solution

The third proportional to 23,006.50 and 34,625.50 is: 52,112.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,006.50 : 34,625.50 = 34,625.50 : x
  2. Step 2: Convert to fraction form
    23,006.50/34,625.50 = 34,625.50/x
  3. Step 3: Cross multiply
    23,006.50x = 34,625.50 × 34,625.50
  4. Step 4: Simplify right side
    23,006.50x = 1,198,925,250.25
  5. Step 5: Solve for x
    x = 1,198,925,250.25/23,006.50
  6. Step 6: Final answer
    x = 52,112.46

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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.