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Finding the Third Proportional to 4,828.50 and 8,052.75

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Solution

The third proportional to 4,828.50 and 8,052.75 is: 13,430.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,828.50 : 8,052.75 = 8,052.75 : x
  2. Step 2: Convert to fraction form
    4,828.50/8,052.75 = 8,052.75/x
  3. Step 3: Cross multiply
    4,828.50x = 8,052.75 × 8,052.75
  4. Step 4: Simplify right side
    4,828.50x = 64,846,782.56
  5. Step 5: Solve for x
    x = 64,846,782.56/4,828.50
  6. Step 6: Final answer
    x = 13,430.01

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.