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Finding the Third Proportional to 48,425.34 and 102,621.94

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Solution

The third proportional to 48,425.34 and 102,621.94 is: 217,474.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,425.34 : 102,621.94 = 102,621.94 : x
  2. Step 2: Convert to fraction form
    48,425.34/102,621.94 = 102,621.94/x
  3. Step 3: Cross multiply
    48,425.34x = 102,621.94 × 102,621.94
  4. Step 4: Simplify right side
    48,425.34x = 10,531,262,056.25
  5. Step 5: Solve for x
    x = 10,531,262,056.25/48,425.34
  6. Step 6: Final answer
    x = 217,474.18

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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.