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Finding the Third Proportional to 48,256.50 and 69,616.50

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Solution

The third proportional to 48,256.50 and 69,616.50 is: 100,431.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,256.50 : 69,616.50 = 69,616.50 : x
  2. Step 2: Convert to fraction form
    48,256.50/69,616.50 = 69,616.50/x
  3. Step 3: Cross multiply
    48,256.50x = 69,616.50 × 69,616.50
  4. Step 4: Simplify right side
    48,256.50x = 4,846,457,072.25
  5. Step 5: Solve for x
    x = 4,846,457,072.25/48,256.50
  6. Step 6: Final answer
    x = 100,431.18

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.