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Finding the Third Proportional to 22,612.50 and 36,209.25

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Solution

The third proportional to 22,612.50 and 36,209.25 is: 57,981.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,612.50 : 36,209.25 = 36,209.25 : x
  2. Step 2: Convert to fraction form
    22,612.50/36,209.25 = 36,209.25/x
  3. Step 3: Cross multiply
    22,612.50x = 36,209.25 × 36,209.25
  4. Step 4: Simplify right side
    22,612.50x = 1,311,109,785.56
  5. Step 5: Solve for x
    x = 1,311,109,785.56/22,612.50
  6. Step 6: Final answer
    x = 57,981.64

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.