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Finding the Third Proportional to 23,583.94 and 32,045.91

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Solution

The third proportional to 23,583.94 and 32,045.91 is: 43,544.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,583.94 : 32,045.91 = 32,045.91 : x
  2. Step 2: Convert to fraction form
    23,583.94/32,045.91 = 32,045.91/x
  3. Step 3: Cross multiply
    23,583.94x = 32,045.91 × 32,045.91
  4. Step 4: Simplify right side
    23,583.94x = 1,026,940,107.38
  5. Step 5: Solve for x
    x = 1,026,940,107.38/23,583.94
  6. Step 6: Final answer
    x = 43,544.05

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.