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Finding the Third Proportional to 8,122.88 and 18,347.44

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Solution

The third proportional to 8,122.88 and 18,347.44 is: 41,442.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.88 : 18,347.44 = 18,347.44 : x
  2. Step 2: Convert to fraction form
    8,122.88/18,347.44 = 18,347.44/x
  3. Step 3: Cross multiply
    8,122.88x = 18,347.44 × 18,347.44
  4. Step 4: Simplify right side
    8,122.88x = 336,628,462.82
  5. Step 5: Solve for x
    x = 336,628,462.82/8,122.88
  6. Step 6: Final answer
    x = 41,442.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.