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Finding the Third Proportional to 3,410 and 4,827

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Solution

The third proportional to 3,410 and 4,827 is: 6,832.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410 : 4,827 = 4,827 : x
  2. Step 2: Convert to fraction form
    3,410/4,827 = 4,827/x
  3. Step 3: Cross multiply
    3,410x = 4,827 × 4,827
  4. Step 4: Simplify right side
    3,410x = 23,299,929
  5. Step 5: Solve for x
    x = 23,299,929/3,410
  6. Step 6: Final answer
    x = 6,832.82

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.