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Finding the Third Proportional to 10,739.50 and 23,324

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Solution

The third proportional to 10,739.50 and 23,324 is: 50,654.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,739.50 : 23,324 = 23,324 : x
  2. Step 2: Convert to fraction form
    10,739.50/23,324 = 23,324/x
  3. Step 3: Cross multiply
    10,739.50x = 23,324 × 23,324
  4. Step 4: Simplify right side
    10,739.50x = 544,008,976
  5. Step 5: Solve for x
    x = 544,008,976/10,739.50
  6. Step 6: Final answer
    x = 50,654.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.