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Finding the Third Proportional to 4,118.63 and 6,036.19

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Solution

The third proportional to 4,118.63 and 6,036.19 is: 8,846.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,118.63 : 6,036.19 = 6,036.19 : x
  2. Step 2: Convert to fraction form
    4,118.63/6,036.19 = 6,036.19/x
  3. Step 3: Cross multiply
    4,118.63x = 6,036.19 × 6,036.19
  4. Step 4: Simplify right side
    4,118.63x = 36,435,559.54
  5. Step 5: Solve for x
    x = 36,435,559.54/4,118.63
  6. Step 6: Final answer
    x = 8,846.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.