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Finding the Third Proportional to 20,330.75 and 31,288.75

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Solution

The third proportional to 20,330.75 and 31,288.75 is: 48,152.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,330.75 : 31,288.75 = 31,288.75 : x
  2. Step 2: Convert to fraction form
    20,330.75/31,288.75 = 31,288.75/x
  3. Step 3: Cross multiply
    20,330.75x = 31,288.75 × 31,288.75
  4. Step 4: Simplify right side
    20,330.75x = 978,985,876.56
  5. Step 5: Solve for x
    x = 978,985,876.56/20,330.75
  6. Step 6: Final answer
    x = 48,152.96

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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.