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Finding the Third Proportional to 5,461 and 11,719

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Solution

The third proportional to 5,461 and 11,719 is: 25,148.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461 : 11,719 = 11,719 : x
  2. Step 2: Convert to fraction form
    5,461/11,719 = 11,719/x
  3. Step 3: Cross multiply
    5,461x = 11,719 × 11,719
  4. Step 4: Simplify right side
    5,461x = 137,334,961
  5. Step 5: Solve for x
    x = 137,334,961/5,461
  6. Step 6: Final answer
    x = 25,148.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.