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Finding the Third Proportional to 30,177 and 47,733.75

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Solution

The third proportional to 30,177 and 47,733.75 is: 75,504.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,177 : 47,733.75 = 47,733.75 : x
  2. Step 2: Convert to fraction form
    30,177/47,733.75 = 47,733.75/x
  3. Step 3: Cross multiply
    30,177x = 47,733.75 × 47,733.75
  4. Step 4: Simplify right side
    30,177x = 2,278,510,889.06
  5. Step 5: Solve for x
    x = 2,278,510,889.06/30,177
  6. Step 6: Final answer
    x = 75,504.88

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.