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Finding the Third Proportional to 30,906 and 45,244

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Solution

The third proportional to 30,906 and 45,244 is: 66,233.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,906 : 45,244 = 45,244 : x
  2. Step 2: Convert to fraction form
    30,906/45,244 = 45,244/x
  3. Step 3: Cross multiply
    30,906x = 45,244 × 45,244
  4. Step 4: Simplify right side
    30,906x = 2,047,019,536
  5. Step 5: Solve for x
    x = 2,047,019,536/30,906
  6. Step 6: Final answer
    x = 66,233.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.