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Finding the Third Proportional to 4,646 and 7,131

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Solution

The third proportional to 4,646 and 7,131 is: 10,945.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646 : 7,131 = 7,131 : x
  2. Step 2: Convert to fraction form
    4,646/7,131 = 7,131/x
  3. Step 3: Cross multiply
    4,646x = 7,131 × 7,131
  4. Step 4: Simplify right side
    4,646x = 50,851,161
  5. Step 5: Solve for x
    x = 50,851,161/4,646
  6. Step 6: Final answer
    x = 10,945.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.