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Finding the Third Proportional to 23,891.63 and 35,184.38

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Solution

The third proportional to 23,891.63 and 35,184.38 is: 51,814.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,891.63 : 35,184.38 = 35,184.38 : x
  2. Step 2: Convert to fraction form
    23,891.63/35,184.38 = 35,184.38/x
  3. Step 3: Cross multiply
    23,891.63x = 35,184.38 × 35,184.38
  4. Step 4: Simplify right side
    23,891.63x = 1,237,940,244.14
  5. Step 5: Solve for x
    x = 1,237,940,244.14/23,891.63
  6. Step 6: Final answer
    x = 51,814.82

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.