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Finding the Third Proportional to 30,752.37 and 50,216.20

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Solution

The third proportional to 30,752.37 and 50,216.20 is: 81,999.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,752.37 : 50,216.20 = 50,216.20 : x
  2. Step 2: Convert to fraction form
    30,752.37/50,216.20 = 50,216.20/x
  3. Step 3: Cross multiply
    30,752.37x = 50,216.20 × 50,216.20
  4. Step 4: Simplify right side
    30,752.37x = 2,521,667,056.29
  5. Step 5: Solve for x
    x = 2,521,667,056.29/30,752.37
  6. Step 6: Final answer
    x = 81,999.12

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.