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Finding the Third Proportional to 22,286.63 and 48,946.88

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Solution

The third proportional to 22,286.63 and 48,946.88 is: 107,499.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,286.63 : 48,946.88 = 48,946.88 : x
  2. Step 2: Convert to fraction form
    22,286.63/48,946.88 = 48,946.88/x
  3. Step 3: Cross multiply
    22,286.63x = 48,946.88 × 48,946.88
  4. Step 4: Simplify right side
    22,286.63x = 2,395,796,572.27
  5. Step 5: Solve for x
    x = 2,395,796,572.27/22,286.63
  6. Step 6: Final answer
    x = 107,499.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.