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Finding the Third Proportional to 30,014 and 43,233

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Solution

The third proportional to 30,014 and 43,233 is: 62,274.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,014 : 43,233 = 43,233 : x
  2. Step 2: Convert to fraction form
    30,014/43,233 = 43,233/x
  3. Step 3: Cross multiply
    30,014x = 43,233 × 43,233
  4. Step 4: Simplify right side
    30,014x = 1,869,092,289
  5. Step 5: Solve for x
    x = 1,869,092,289/30,014
  6. Step 6: Final answer
    x = 62,274.02

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.