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Finding the Third Proportional to 6,176.63 and 13,583.44

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Solution

The third proportional to 6,176.63 and 13,583.44 is: 29,872.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,176.63 : 13,583.44 = 13,583.44 : x
  2. Step 2: Convert to fraction form
    6,176.63/13,583.44 = 13,583.44/x
  3. Step 3: Cross multiply
    6,176.63x = 13,583.44 × 13,583.44
  4. Step 4: Simplify right side
    6,176.63x = 184,509,774.32
  5. Step 5: Solve for x
    x = 184,509,774.32/6,176.63
  6. Step 6: Final answer
    x = 29,872.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.