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Finding the Third Proportional to 50,509.50 and 74,787

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Solution

The third proportional to 50,509.50 and 74,787 is: 110,733.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,509.50 : 74,787 = 74,787 : x
  2. Step 2: Convert to fraction form
    50,509.50/74,787 = 74,787/x
  3. Step 3: Cross multiply
    50,509.50x = 74,787 × 74,787
  4. Step 4: Simplify right side
    50,509.50x = 5,593,095,369
  5. Step 5: Solve for x
    x = 5,593,095,369/50,509.50
  6. Step 6: Final answer
    x = 110,733.53

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.