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Finding the Third Proportional to 2,272.90 and 3,321.20

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Solution

The third proportional to 2,272.90 and 3,321.20 is: 4,852.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.90 : 3,321.20 = 3,321.20 : x
  2. Step 2: Convert to fraction form
    2,272.90/3,321.20 = 3,321.20/x
  3. Step 3: Cross multiply
    2,272.90x = 3,321.20 × 3,321.20
  4. Step 4: Simplify right side
    2,272.90x = 11,030,354.52
  5. Step 5: Solve for x
    x = 11,030,354.52/2,272.90
  6. Step 6: Final answer
    x = 4,852.98

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.