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Finding the Third Proportional to 4,448 and 4,816

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Solution

The third proportional to 4,448 and 4,816 is: 5,214.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,448 : 4,816 = 4,816 : x
  2. Step 2: Convert to fraction form
    4,448/4,816 = 4,816/x
  3. Step 3: Cross multiply
    4,448x = 4,816 × 4,816
  4. Step 4: Simplify right side
    4,448x = 23,193,856
  5. Step 5: Solve for x
    x = 23,193,856/4,448
  6. Step 6: Final answer
    x = 5,214.45

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.