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Finding the Third Proportional to 24,322.78 and 37,201.78

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Solution

The third proportional to 24,322.78 and 37,201.78 is: 56,900.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,322.78 : 37,201.78 = 37,201.78 : x
  2. Step 2: Convert to fraction form
    24,322.78/37,201.78 = 37,201.78/x
  3. Step 3: Cross multiply
    24,322.78x = 37,201.78 × 37,201.78
  4. Step 4: Simplify right side
    24,322.78x = 1,383,972,528.17
  5. Step 5: Solve for x
    x = 1,383,972,528.17/24,322.78
  6. Step 6: Final answer
    x = 56,900.26

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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.