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Finding the Third Proportional to 48,593.25 and 102,964.50

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Solution

The third proportional to 48,593.25 and 102,964.50 is: 218,172.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,593.25 : 102,964.50 = 102,964.50 : x
  2. Step 2: Convert to fraction form
    48,593.25/102,964.50 = 102,964.50/x
  3. Step 3: Cross multiply
    48,593.25x = 102,964.50 × 102,964.50
  4. Step 4: Simplify right side
    48,593.25x = 10,601,688,260.25
  5. Step 5: Solve for x
    x = 10,601,688,260.25/48,593.25
  6. Step 6: Final answer
    x = 218,172.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.