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Finding the Third Proportional to 32,811.75 and 50,442.75

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Solution

The third proportional to 32,811.75 and 50,442.75 is: 77,547.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,811.75 : 50,442.75 = 50,442.75 : x
  2. Step 2: Convert to fraction form
    32,811.75/50,442.75 = 50,442.75/x
  3. Step 3: Cross multiply
    32,811.75x = 50,442.75 × 50,442.75
  4. Step 4: Simplify right side
    32,811.75x = 2,544,471,027.56
  5. Step 5: Solve for x
    x = 2,544,471,027.56/32,811.75
  6. Step 6: Final answer
    x = 77,547.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.