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Finding the Third Proportional to 1,946.20 and 4,281.63

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Solution

The third proportional to 1,946.20 and 4,281.63 is: 9,419.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.20 : 4,281.63 = 4,281.63 : x
  2. Step 2: Convert to fraction form
    1,946.20/4,281.63 = 4,281.63/x
  3. Step 3: Cross multiply
    1,946.20x = 4,281.63 × 4,281.63
  4. Step 4: Simplify right side
    1,946.20x = 18,332,348.18
  5. Step 5: Solve for x
    x = 18,332,348.18/1,946.20
  6. Step 6: Final answer
    x = 9,419.58

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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.