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Finding the Third Proportional to 33,875.50 and 50,322

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Solution

The third proportional to 33,875.50 and 50,322 is: 74,753.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,875.50 : 50,322 = 50,322 : x
  2. Step 2: Convert to fraction form
    33,875.50/50,322 = 50,322/x
  3. Step 3: Cross multiply
    33,875.50x = 50,322 × 50,322
  4. Step 4: Simplify right side
    33,875.50x = 2,532,303,684
  5. Step 5: Solve for x
    x = 2,532,303,684/33,875.50
  6. Step 6: Final answer
    x = 74,753.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.