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Finding the Third Proportional to 34,433 and 73,001

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Solution

The third proportional to 34,433 and 73,001 is: 154,768.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,433 : 73,001 = 73,001 : x
  2. Step 2: Convert to fraction form
    34,433/73,001 = 73,001/x
  3. Step 3: Cross multiply
    34,433x = 73,001 × 73,001
  4. Step 4: Simplify right side
    34,433x = 5,329,146,001
  5. Step 5: Solve for x
    x = 5,329,146,001/34,433
  6. Step 6: Final answer
    x = 154,768.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.