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Finding the Third Proportional to 2,018.63 and 4,148.25

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Solution

The third proportional to 2,018.63 and 4,148.25 is: 8,524.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.63 : 4,148.25 = 4,148.25 : x
  2. Step 2: Convert to fraction form
    2,018.63/4,148.25 = 4,148.25/x
  3. Step 3: Cross multiply
    2,018.63x = 4,148.25 × 4,148.25
  4. Step 4: Simplify right side
    2,018.63x = 17,207,978.06
  5. Step 5: Solve for x
    x = 17,207,978.06/2,018.63
  6. Step 6: Final answer
    x = 8,524.60

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.