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Finding the Third Proportional to 23,024.25 and 34,266.80

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Solution

The third proportional to 23,024.25 and 34,266.80 is: 50,998.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,024.25 : 34,266.80 = 34,266.80 : x
  2. Step 2: Convert to fraction form
    23,024.25/34,266.80 = 34,266.80/x
  3. Step 3: Cross multiply
    23,024.25x = 34,266.80 × 34,266.80
  4. Step 4: Simplify right side
    23,024.25x = 1,174,213,368.07
  5. Step 5: Solve for x
    x = 1,174,213,368.07/23,024.25
  6. Step 6: Final answer
    x = 50,998.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.