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Finding the Third Proportional to 4,606 and 5,146

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Solution

The third proportional to 4,606 and 5,146 is: 5,749.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606 : 5,146 = 5,146 : x
  2. Step 2: Convert to fraction form
    4,606/5,146 = 5,146/x
  3. Step 3: Cross multiply
    4,606x = 5,146 × 5,146
  4. Step 4: Simplify right side
    4,606x = 26,481,316
  5. Step 5: Solve for x
    x = 26,481,316/4,606
  6. Step 6: Final answer
    x = 5,749.31

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.