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Finding the Third Proportional to 30,819.50 and 65,610.50

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Solution

The third proportional to 30,819.50 and 65,610.50 is: 139,675.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,819.50 : 65,610.50 = 65,610.50 : x
  2. Step 2: Convert to fraction form
    30,819.50/65,610.50 = 65,610.50/x
  3. Step 3: Cross multiply
    30,819.50x = 65,610.50 × 65,610.50
  4. Step 4: Simplify right side
    30,819.50x = 4,304,737,710.25
  5. Step 5: Solve for x
    x = 4,304,737,710.25/30,819.50
  6. Step 6: Final answer
    x = 139,675.78

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.