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Finding the Third Proportional to 4,378.22 and 9,606.52

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Solution

The third proportional to 4,378.22 and 9,606.52 is: 21,078.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,378.22 : 9,606.52 = 9,606.52 : x
  2. Step 2: Convert to fraction form
    4,378.22/9,606.52 = 9,606.52/x
  3. Step 3: Cross multiply
    4,378.22x = 9,606.52 × 9,606.52
  4. Step 4: Simplify right side
    4,378.22x = 92,285,142.45
  5. Step 5: Solve for x
    x = 92,285,142.45/4,378.22
  6. Step 6: Final answer
    x = 21,078.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.