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Finding the Third Proportional to 23,222.72 and 35,583.66

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Solution

The third proportional to 23,222.72 and 35,583.66 is: 54,524.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,222.72 : 35,583.66 = 35,583.66 : x
  2. Step 2: Convert to fraction form
    23,222.72/35,583.66 = 35,583.66/x
  3. Step 3: Cross multiply
    23,222.72x = 35,583.66 × 35,583.66
  4. Step 4: Simplify right side
    23,222.72x = 1,266,196,592.12
  5. Step 5: Solve for x
    x = 1,266,196,592.12/23,222.72
  6. Step 6: Final answer
    x = 54,524.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.