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Finding the Third Proportional to 23,732.37 and 51,155.30

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Solution

The third proportional to 23,732.37 and 51,155.30 is: 110,265.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,732.37 : 51,155.30 = 51,155.30 : x
  2. Step 2: Convert to fraction form
    23,732.37/51,155.30 = 51,155.30/x
  3. Step 3: Cross multiply
    23,732.37x = 51,155.30 × 51,155.30
  4. Step 4: Simplify right side
    23,732.37x = 2,616,864,398.37
  5. Step 5: Solve for x
    x = 2,616,864,398.37/23,732.37
  6. Step 6: Final answer
    x = 110,265.63

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.