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Finding the Third Proportional to 34,749 and 73,325.25

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Solution

The third proportional to 34,749 and 73,325.25 is: 154,726.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,749 : 73,325.25 = 73,325.25 : x
  2. Step 2: Convert to fraction form
    34,749/73,325.25 = 73,325.25/x
  3. Step 3: Cross multiply
    34,749x = 73,325.25 × 73,325.25
  4. Step 4: Simplify right side
    34,749x = 5,376,592,287.56
  5. Step 5: Solve for x
    x = 5,376,592,287.56/34,749
  6. Step 6: Final answer
    x = 154,726.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.