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Finding the Third Proportional to 2,623.22 and 5,669.44

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Solution

The third proportional to 2,623.22 and 5,669.44 is: 12,253.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,623.22 : 5,669.44 = 5,669.44 : x
  2. Step 2: Convert to fraction form
    2,623.22/5,669.44 = 5,669.44/x
  3. Step 3: Cross multiply
    2,623.22x = 5,669.44 × 5,669.44
  4. Step 4: Simplify right side
    2,623.22x = 32,142,521.57
  5. Step 5: Solve for x
    x = 32,142,521.57/2,623.22
  6. Step 6: Final answer
    x = 12,253.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.