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Finding the Third Proportional to 23,458.78 and 34,367.63

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Solution

The third proportional to 23,458.78 and 34,367.63 is: 50,349.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,458.78 : 34,367.63 = 34,367.63 : x
  2. Step 2: Convert to fraction form
    23,458.78/34,367.63 = 34,367.63/x
  3. Step 3: Cross multiply
    23,458.78x = 34,367.63 × 34,367.63
  4. Step 4: Simplify right side
    23,458.78x = 1,181,133,648.14
  5. Step 5: Solve for x
    x = 1,181,133,648.14/23,458.78
  6. Step 6: Final answer
    x = 50,349.32

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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.