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Finding the Third Proportional to 3,052 and 4,559.50

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Solution

The third proportional to 3,052 and 4,559.50 is: 6,811.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052 : 4,559.50 = 4,559.50 : x
  2. Step 2: Convert to fraction form
    3,052/4,559.50 = 4,559.50/x
  3. Step 3: Cross multiply
    3,052x = 4,559.50 × 4,559.50
  4. Step 4: Simplify right side
    3,052x = 20,789,040.25
  5. Step 5: Solve for x
    x = 20,789,040.25/3,052
  6. Step 6: Final answer
    x = 6,811.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.