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Finding the Third Proportional to 30,213.75 and 65,449.50

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Solution

The third proportional to 30,213.75 and 65,449.50 is: 141,777.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,213.75 : 65,449.50 = 65,449.50 : x
  2. Step 2: Convert to fraction form
    30,213.75/65,449.50 = 65,449.50/x
  3. Step 3: Cross multiply
    30,213.75x = 65,449.50 × 65,449.50
  4. Step 4: Simplify right side
    30,213.75x = 4,283,637,050.25
  5. Step 5: Solve for x
    x = 4,283,637,050.25/30,213.75
  6. Step 6: Final answer
    x = 141,777.74

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.