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Finding the Third Proportional to 15,096 and 30,393.75

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Solution

The third proportional to 15,096 and 30,393.75 is: 61,193.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,096 : 30,393.75 = 30,393.75 : x
  2. Step 2: Convert to fraction form
    15,096/30,393.75 = 30,393.75/x
  3. Step 3: Cross multiply
    15,096x = 30,393.75 × 30,393.75
  4. Step 4: Simplify right side
    15,096x = 923,780,039.06
  5. Step 5: Solve for x
    x = 923,780,039.06/15,096
  6. Step 6: Final answer
    x = 61,193.70

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.