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Finding the Third Proportional to 30,096 and 45,908

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Solution

The third proportional to 30,096 and 45,908 is: 70,027.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,096 : 45,908 = 45,908 : x
  2. Step 2: Convert to fraction form
    30,096/45,908 = 45,908/x
  3. Step 3: Cross multiply
    30,096x = 45,908 × 45,908
  4. Step 4: Simplify right side
    30,096x = 2,107,544,464
  5. Step 5: Solve for x
    x = 2,107,544,464/30,096
  6. Step 6: Final answer
    x = 70,027.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.