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Finding the Third Proportional to 3,069.06 and 4,629.22

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Solution

The third proportional to 3,069.06 and 4,629.22 is: 6,982.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.06 : 4,629.22 = 4,629.22 : x
  2. Step 2: Convert to fraction form
    3,069.06/4,629.22 = 4,629.22/x
  3. Step 3: Cross multiply
    3,069.06x = 4,629.22 × 4,629.22
  4. Step 4: Simplify right side
    3,069.06x = 21,429,688.84
  5. Step 5: Solve for x
    x = 21,429,688.84/3,069.06
  6. Step 6: Final answer
    x = 6,982.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.