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Finding the Third Proportional to 3,164 and 4,760

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Solution

The third proportional to 3,164 and 4,760 is: 7,161.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164 : 4,760 = 4,760 : x
  2. Step 2: Convert to fraction form
    3,164/4,760 = 4,760/x
  3. Step 3: Cross multiply
    3,164x = 4,760 × 4,760
  4. Step 4: Simplify right side
    3,164x = 22,657,600
  5. Step 5: Solve for x
    x = 22,657,600/3,164
  6. Step 6: Final answer
    x = 7,161.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.