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Finding the Third Proportional to 1,622.25 and 2,467.88

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Solution

The third proportional to 1,622.25 and 2,467.88 is: 3,754.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.25 : 2,467.88 = 2,467.88 : x
  2. Step 2: Convert to fraction form
    1,622.25/2,467.88 = 2,467.88/x
  3. Step 3: Cross multiply
    1,622.25x = 2,467.88 × 2,467.88
  4. Step 4: Simplify right side
    1,622.25x = 6,090,407.02
  5. Step 5: Solve for x
    x = 6,090,407.02/1,622.25
  6. Step 6: Final answer
    x = 3,754.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.