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Finding the Third Proportional to 4,722.26 and 6,619.64

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Solution

The third proportional to 4,722.26 and 6,619.64 is: 9,279.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,722.26 : 6,619.64 = 6,619.64 : x
  2. Step 2: Convert to fraction form
    4,722.26/6,619.64 = 6,619.64/x
  3. Step 3: Cross multiply
    4,722.26x = 6,619.64 × 6,619.64
  4. Step 4: Simplify right side
    4,722.26x = 43,819,642.00
  5. Step 5: Solve for x
    x = 43,819,642.00/4,722.26
  6. Step 6: Final answer
    x = 9,279.38

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.