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Finding the Third Proportional to 22,835.36 and 34,253.03

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Solution

The third proportional to 22,835.36 and 34,253.03 is: 51,379.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,835.36 : 34,253.03 = 34,253.03 : x
  2. Step 2: Convert to fraction form
    22,835.36/34,253.03 = 34,253.03/x
  3. Step 3: Cross multiply
    22,835.36x = 34,253.03 × 34,253.03
  4. Step 4: Simplify right side
    22,835.36x = 1,173,270,283.61
  5. Step 5: Solve for x
    x = 1,173,270,283.61/22,835.36
  6. Step 6: Final answer
    x = 51,379.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.