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Finding the Third Proportional to 36,325.69 and 48,816

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Solution

The third proportional to 36,325.69 and 48,816 is: 65,601.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,325.69 : 48,816 = 48,816 : x
  2. Step 2: Convert to fraction form
    36,325.69/48,816 = 48,816/x
  3. Step 3: Cross multiply
    36,325.69x = 48,816 × 48,816
  4. Step 4: Simplify right side
    36,325.69x = 2,383,001,856
  5. Step 5: Solve for x
    x = 2,383,001,856/36,325.69
  6. Step 6: Final answer
    x = 65,601.01

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.