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Finding the Third Proportional to 5,789 and 11,989

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Solution

The third proportional to 5,789 and 11,989 is: 24,829.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,789 : 11,989 = 11,989 : x
  2. Step 2: Convert to fraction form
    5,789/11,989 = 11,989/x
  3. Step 3: Cross multiply
    5,789x = 11,989 × 11,989
  4. Step 4: Simplify right side
    5,789x = 143,736,121
  5. Step 5: Solve for x
    x = 143,736,121/5,789
  6. Step 6: Final answer
    x = 24,829.18

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.