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Finding the Third Proportional to 34,753.50 and 74,907

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Solution

The third proportional to 34,753.50 and 74,907 is: 161,453.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,753.50 : 74,907 = 74,907 : x
  2. Step 2: Convert to fraction form
    34,753.50/74,907 = 74,907/x
  3. Step 3: Cross multiply
    34,753.50x = 74,907 × 74,907
  4. Step 4: Simplify right side
    34,753.50x = 5,611,058,649
  5. Step 5: Solve for x
    x = 5,611,058,649/34,753.50
  6. Step 6: Final answer
    x = 161,453.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.