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Finding the Third Proportional to 23,222.53 and 35,583.47

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Solution

The third proportional to 23,222.53 and 35,583.47 is: 54,523.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,222.53 : 35,583.47 = 35,583.47 : x
  2. Step 2: Convert to fraction form
    23,222.53/35,583.47 = 35,583.47/x
  3. Step 3: Cross multiply
    23,222.53x = 35,583.47 × 35,583.47
  4. Step 4: Simplify right side
    23,222.53x = 1,266,183,248.28
  5. Step 5: Solve for x
    x = 1,266,183,248.28/23,222.53
  6. Step 6: Final answer
    x = 54,523.91

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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.