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Finding the Third Proportional to 2,575.23 and 2,893.22

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Solution

The third proportional to 2,575.23 and 2,893.22 is: 3,250.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.23 : 2,893.22 = 2,893.22 : x
  2. Step 2: Convert to fraction form
    2,575.23/2,893.22 = 2,893.22/x
  3. Step 3: Cross multiply
    2,575.23x = 2,893.22 × 2,893.22
  4. Step 4: Simplify right side
    2,575.23x = 8,370,714.74
  5. Step 5: Solve for x
    x = 8,370,714.74/2,575.23
  6. Step 6: Final answer
    x = 3,250.47

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.