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Finding the Third Proportional to 25,112 and 34,433

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Solution

The third proportional to 25,112 and 34,433 is: 47,213.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,112 : 34,433 = 34,433 : x
  2. Step 2: Convert to fraction form
    25,112/34,433 = 34,433/x
  3. Step 3: Cross multiply
    25,112x = 34,433 × 34,433
  4. Step 4: Simplify right side
    25,112x = 1,185,631,489
  5. Step 5: Solve for x
    x = 1,185,631,489/25,112
  6. Step 6: Final answer
    x = 47,213.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.