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Finding the Third Proportional to 30,256.50 and 65,845.50

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Solution

The third proportional to 30,256.50 and 65,845.50 is: 143,295.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,256.50 : 65,845.50 = 65,845.50 : x
  2. Step 2: Convert to fraction form
    30,256.50/65,845.50 = 65,845.50/x
  3. Step 3: Cross multiply
    30,256.50x = 65,845.50 × 65,845.50
  4. Step 4: Simplify right side
    30,256.50x = 4,335,629,870.25
  5. Step 5: Solve for x
    x = 4,335,629,870.25/30,256.50
  6. Step 6: Final answer
    x = 143,295.82

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.