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Finding the Third Proportional to 23,495.06 and 48,546.84

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Solution

The third proportional to 23,495.06 and 48,546.84 is: 100,310.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,495.06 : 48,546.84 = 48,546.84 : x
  2. Step 2: Convert to fraction form
    23,495.06/48,546.84 = 48,546.84/x
  3. Step 3: Cross multiply
    23,495.06x = 48,546.84 × 48,546.84
  4. Step 4: Simplify right side
    23,495.06x = 2,356,796,038.09
  5. Step 5: Solve for x
    x = 2,356,796,038.09/23,495.06
  6. Step 6: Final answer
    x = 100,310.27

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.