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Finding the Third Proportional to 2,219.63 and 4,775.06

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Solution

The third proportional to 2,219.63 and 4,775.06 is: 10,272.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.63 : 4,775.06 = 4,775.06 : x
  2. Step 2: Convert to fraction form
    2,219.63/4,775.06 = 4,775.06/x
  3. Step 3: Cross multiply
    2,219.63x = 4,775.06 × 4,775.06
  4. Step 4: Simplify right side
    2,219.63x = 22,801,221.88
  5. Step 5: Solve for x
    x = 22,801,221.88/2,219.63
  6. Step 6: Final answer
    x = 10,272.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.