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Finding the Third Proportional to 4,816 and 5,648

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Solution

The third proportional to 4,816 and 5,648 is: 6,623.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,816 : 5,648 = 5,648 : x
  2. Step 2: Convert to fraction form
    4,816/5,648 = 5,648/x
  3. Step 3: Cross multiply
    4,816x = 5,648 × 5,648
  4. Step 4: Simplify right side
    4,816x = 31,899,904
  5. Step 5: Solve for x
    x = 31,899,904/4,816
  6. Step 6: Final answer
    x = 6,623.73

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.