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Finding the Third Proportional to 34,435 and 73,003

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Solution

The third proportional to 34,435 and 73,003 is: 154,768.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,435 : 73,003 = 73,003 : x
  2. Step 2: Convert to fraction form
    34,435/73,003 = 73,003/x
  3. Step 3: Cross multiply
    34,435x = 73,003 × 73,003
  4. Step 4: Simplify right side
    34,435x = 5,329,438,009
  5. Step 5: Solve for x
    x = 5,329,438,009/34,435
  6. Step 6: Final answer
    x = 154,768.06

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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.