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Finding the Third Proportional to 3,034.78 and 4,580.06

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Solution

The third proportional to 3,034.78 and 4,580.06 is: 6,912.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,034.78 : 4,580.06 = 4,580.06 : x
  2. Step 2: Convert to fraction form
    3,034.78/4,580.06 = 4,580.06/x
  3. Step 3: Cross multiply
    3,034.78x = 4,580.06 × 4,580.06
  4. Step 4: Simplify right side
    3,034.78x = 20,976,972.50
  5. Step 5: Solve for x
    x = 20,976,972.50/3,034.78
  6. Step 6: Final answer
    x = 6,912.19

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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.