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Finding the Third Proportional to 2,466.07 and 3,220.70

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Solution

The third proportional to 2,466.07 and 3,220.70 is: 4,206.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.07 : 3,220.70 = 3,220.70 : x
  2. Step 2: Convert to fraction form
    2,466.07/3,220.70 = 3,220.70/x
  3. Step 3: Cross multiply
    2,466.07x = 3,220.70 × 3,220.70
  4. Step 4: Simplify right side
    2,466.07x = 10,372,903.46
  5. Step 5: Solve for x
    x = 10,372,903.46/2,466.07
  6. Step 6: Final answer
    x = 4,206.25

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.