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Finding the Third Proportional to 6,418.41 and 8,585.16

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Solution

The third proportional to 6,418.41 and 8,585.16 is: 11,483.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,418.41 : 8,585.16 = 8,585.16 : x
  2. Step 2: Convert to fraction form
    6,418.41/8,585.16 = 8,585.16/x
  3. Step 3: Cross multiply
    6,418.41x = 8,585.16 × 8,585.16
  4. Step 4: Simplify right side
    6,418.41x = 73,704,907.84
  5. Step 5: Solve for x
    x = 73,704,907.84/6,418.41
  6. Step 6: Final answer
    x = 11,483.37

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.