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Finding the Third Proportional to 5,678 and 11,746

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Solution

The third proportional to 5,678 and 11,746 is: 24,298.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678 : 11,746 = 11,746 : x
  2. Step 2: Convert to fraction form
    5,678/11,746 = 11,746/x
  3. Step 3: Cross multiply
    5,678x = 11,746 × 11,746
  4. Step 4: Simplify right side
    5,678x = 137,968,516
  5. Step 5: Solve for x
    x = 137,968,516/5,678
  6. Step 6: Final answer
    x = 24,298.79

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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.