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Finding the Third Proportional to 40,990.50 and 88,947

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Solution

The third proportional to 40,990.50 and 88,947 is: 193,009.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,990.50 : 88,947 = 88,947 : x
  2. Step 2: Convert to fraction form
    40,990.50/88,947 = 88,947/x
  3. Step 3: Cross multiply
    40,990.50x = 88,947 × 88,947
  4. Step 4: Simplify right side
    40,990.50x = 7,911,568,809
  5. Step 5: Solve for x
    x = 7,911,568,809/40,990.50
  6. Step 6: Final answer
    x = 193,009.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.