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Finding the Third Proportional to 4,561 and 5,989

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Solution

The third proportional to 4,561 and 5,989 is: 7,864.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,561 : 5,989 = 5,989 : x
  2. Step 2: Convert to fraction form
    4,561/5,989 = 5,989/x
  3. Step 3: Cross multiply
    4,561x = 5,989 × 5,989
  4. Step 4: Simplify right side
    4,561x = 35,868,121
  5. Step 5: Solve for x
    x = 35,868,121/4,561
  6. Step 6: Final answer
    x = 7,864.09

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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.