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Finding the Third Proportional to 11,486.50 and 23,711

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Solution

The third proportional to 11,486.50 and 23,711 is: 48,945.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,486.50 : 23,711 = 23,711 : x
  2. Step 2: Convert to fraction form
    11,486.50/23,711 = 23,711/x
  3. Step 3: Cross multiply
    11,486.50x = 23,711 × 23,711
  4. Step 4: Simplify right side
    11,486.50x = 562,211,521
  5. Step 5: Solve for x
    x = 562,211,521/11,486.50
  6. Step 6: Final answer
    x = 48,945.42

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.