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Finding the Third Proportional to 30,250 and 69,433

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Solution

The third proportional to 30,250 and 69,433 is: 159,369.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,250 : 69,433 = 69,433 : x
  2. Step 2: Convert to fraction form
    30,250/69,433 = 69,433/x
  3. Step 3: Cross multiply
    30,250x = 69,433 × 69,433
  4. Step 4: Simplify right side
    30,250x = 4,820,941,489
  5. Step 5: Solve for x
    x = 4,820,941,489/30,250
  6. Step 6: Final answer
    x = 159,369.97

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.