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Finding the Third Proportional to 34,084.25 and 72,907

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Solution

The third proportional to 34,084.25 and 72,907 is: 155,949.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,084.25 : 72,907 = 72,907 : x
  2. Step 2: Convert to fraction form
    34,084.25/72,907 = 72,907/x
  3. Step 3: Cross multiply
    34,084.25x = 72,907 × 72,907
  4. Step 4: Simplify right side
    34,084.25x = 5,315,430,649
  5. Step 5: Solve for x
    x = 5,315,430,649/34,084.25
  6. Step 6: Final answer
    x = 155,949.76

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.