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Finding the Third Proportional to 4,561 and 5,990

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Solution

The third proportional to 4,561 and 5,990 is: 7,866.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,561 : 5,990 = 5,990 : x
  2. Step 2: Convert to fraction form
    4,561/5,990 = 5,990/x
  3. Step 3: Cross multiply
    4,561x = 5,990 × 5,990
  4. Step 4: Simplify right side
    4,561x = 35,880,100
  5. Step 5: Solve for x
    x = 35,880,100/4,561
  6. Step 6: Final answer
    x = 7,866.72

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.