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Finding the Third Proportional to 34,992 and 76,752

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Solution

The third proportional to 34,992 and 76,752 is: 168,349.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,992 : 76,752 = 76,752 : x
  2. Step 2: Convert to fraction form
    34,992/76,752 = 76,752/x
  3. Step 3: Cross multiply
    34,992x = 76,752 × 76,752
  4. Step 4: Simplify right side
    34,992x = 5,890,869,504
  5. Step 5: Solve for x
    x = 5,890,869,504/34,992
  6. Step 6: Final answer
    x = 168,349.04

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.