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Finding the Third Proportional to 23,760.84 and 33,219.28

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Solution

The third proportional to 23,760.84 and 33,219.28 is: 46,442.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,760.84 : 33,219.28 = 33,219.28 : x
  2. Step 2: Convert to fraction form
    23,760.84/33,219.28 = 33,219.28/x
  3. Step 3: Cross multiply
    23,760.84x = 33,219.28 × 33,219.28
  4. Step 4: Simplify right side
    23,760.84x = 1,103,520,646.77
  5. Step 5: Solve for x
    x = 1,103,520,646.77/23,760.84
  6. Step 6: Final answer
    x = 46,442.82

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.