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Finding the Third Proportional to 7,439.86 and 16,018.60

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Solution

The third proportional to 7,439.86 and 16,018.60 is: 34,489.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,439.86 : 16,018.60 = 16,018.60 : x
  2. Step 2: Convert to fraction form
    7,439.86/16,018.60 = 16,018.60/x
  3. Step 3: Cross multiply
    7,439.86x = 16,018.60 × 16,018.60
  4. Step 4: Simplify right side
    7,439.86x = 256,595,556.91
  5. Step 5: Solve for x
    x = 256,595,556.91/7,439.86
  6. Step 6: Final answer
    x = 34,489.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.