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Finding the Third Proportional to 2,421.98 and 4,946.70

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Solution

The third proportional to 2,421.98 and 4,946.70 is: 10,103.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,421.98 : 4,946.70 = 4,946.70 : x
  2. Step 2: Convert to fraction form
    2,421.98/4,946.70 = 4,946.70/x
  3. Step 3: Cross multiply
    2,421.98x = 4,946.70 × 4,946.70
  4. Step 4: Simplify right side
    2,421.98x = 24,469,794.51
  5. Step 5: Solve for x
    x = 24,469,794.51/2,421.98
  6. Step 6: Final answer
    x = 10,103.20

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.