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Finding the Third Proportional to 30,752.75 and 50,216.75

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Solution

The third proportional to 30,752.75 and 50,216.75 is: 81,999.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,752.75 : 50,216.75 = 50,216.75 : x
  2. Step 2: Convert to fraction form
    30,752.75/50,216.75 = 50,216.75/x
  3. Step 3: Cross multiply
    30,752.75x = 50,216.75 × 50,216.75
  4. Step 4: Simplify right side
    30,752.75x = 2,521,721,980.56
  5. Step 5: Solve for x
    x = 2,521,721,980.56/30,752.75
  6. Step 6: Final answer
    x = 81,999.89

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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.