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Finding the Third Proportional to 3,029.06 and 4,680.56

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Solution

The third proportional to 3,029.06 and 4,680.56 is: 7,232.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029.06 : 4,680.56 = 4,680.56 : x
  2. Step 2: Convert to fraction form
    3,029.06/4,680.56 = 4,680.56/x
  3. Step 3: Cross multiply
    3,029.06x = 4,680.56 × 4,680.56
  4. Step 4: Simplify right side
    3,029.06x = 21,907,665.32
  5. Step 5: Solve for x
    x = 21,907,665.32/3,029.06
  6. Step 6: Final answer
    x = 7,232.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.