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Finding the Third Proportional to 11,749.50 and 24,711

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Solution

The third proportional to 11,749.50 and 24,711 is: 51,971.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,749.50 : 24,711 = 24,711 : x
  2. Step 2: Convert to fraction form
    11,749.50/24,711 = 24,711/x
  3. Step 3: Cross multiply
    11,749.50x = 24,711 × 24,711
  4. Step 4: Simplify right side
    11,749.50x = 610,633,521
  5. Step 5: Solve for x
    x = 610,633,521/11,749.50
  6. Step 6: Final answer
    x = 51,971.02

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.