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Finding the Third Proportional to 22,531.50 and 52,636.50

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Solution

The third proportional to 22,531.50 and 52,636.50 is: 122,965.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,531.50 : 52,636.50 = 52,636.50 : x
  2. Step 2: Convert to fraction form
    22,531.50/52,636.50 = 52,636.50/x
  3. Step 3: Cross multiply
    22,531.50x = 52,636.50 × 52,636.50
  4. Step 4: Simplify right side
    22,531.50x = 2,770,601,132.25
  5. Step 5: Solve for x
    x = 2,770,601,132.25/22,531.50
  6. Step 6: Final answer
    x = 122,965.68

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.