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Finding the Third Proportional to 2,276.34 and 4,636.22

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Solution

The third proportional to 2,276.34 and 4,636.22 is: 9,442.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.34 : 4,636.22 = 4,636.22 : x
  2. Step 2: Convert to fraction form
    2,276.34/4,636.22 = 4,636.22/x
  3. Step 3: Cross multiply
    2,276.34x = 4,636.22 × 4,636.22
  4. Step 4: Simplify right side
    2,276.34x = 21,494,524.30
  5. Step 5: Solve for x
    x = 21,494,524.30/2,276.34
  6. Step 6: Final answer
    x = 9,442.57

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.