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Finding the Third Proportional to 24,711 and 36,976.50

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Solution

The third proportional to 24,711 and 36,976.50 is: 55,330.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,711 : 36,976.50 = 36,976.50 : x
  2. Step 2: Convert to fraction form
    24,711/36,976.50 = 36,976.50/x
  3. Step 3: Cross multiply
    24,711x = 36,976.50 × 36,976.50
  4. Step 4: Simplify right side
    24,711x = 1,367,261,552.25
  5. Step 5: Solve for x
    x = 1,367,261,552.25/24,711
  6. Step 6: Final answer
    x = 55,330.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.