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Finding the Third Proportional to 4,146 and 5,695

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Solution

The third proportional to 4,146 and 5,695 is: 7,822.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146 : 5,695 = 5,695 : x
  2. Step 2: Convert to fraction form
    4,146/5,695 = 5,695/x
  3. Step 3: Cross multiply
    4,146x = 5,695 × 5,695
  4. Step 4: Simplify right side
    4,146x = 32,433,025
  5. Step 5: Solve for x
    x = 32,433,025/4,146
  6. Step 6: Final answer
    x = 7,822.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.