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Finding the Third Proportional to 2,018.41 and 4,328.77

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Solution

The third proportional to 2,018.41 and 4,328.77 is: 9,283.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.41 : 4,328.77 = 4,328.77 : x
  2. Step 2: Convert to fraction form
    2,018.41/4,328.77 = 4,328.77/x
  3. Step 3: Cross multiply
    2,018.41x = 4,328.77 × 4,328.77
  4. Step 4: Simplify right side
    2,018.41x = 18,738,262.56
  5. Step 5: Solve for x
    x = 18,738,262.56/2,018.41
  6. Step 6: Final answer
    x = 9,283.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.