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Finding the Third Proportional to 23,458.50 and 34,367.06

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Solution

The third proportional to 23,458.50 and 34,367.06 is: 50,348.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,458.50 : 34,367.06 = 34,367.06 : x
  2. Step 2: Convert to fraction form
    23,458.50/34,367.06 = 34,367.06/x
  3. Step 3: Cross multiply
    23,458.50x = 34,367.06 × 34,367.06
  4. Step 4: Simplify right side
    23,458.50x = 1,181,094,984.88
  5. Step 5: Solve for x
    x = 1,181,094,984.88/23,458.50
  6. Step 6: Final answer
    x = 50,348.27

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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.