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Finding the Third Proportional to 30,672 and 65,711.25

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Solution

The third proportional to 30,672 and 65,711.25 is: 140,778.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,672 : 65,711.25 = 65,711.25 : x
  2. Step 2: Convert to fraction form
    30,672/65,711.25 = 65,711.25/x
  3. Step 3: Cross multiply
    30,672x = 65,711.25 × 65,711.25
  4. Step 4: Simplify right side
    30,672x = 4,317,968,376.56
  5. Step 5: Solve for x
    x = 4,317,968,376.56/30,672
  6. Step 6: Final answer
    x = 140,778.83

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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.