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Finding the Third Proportional to 6,467.63 and 14,146.31

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Solution

The third proportional to 6,467.63 and 14,146.31 is: 30,941.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.63 : 14,146.31 = 14,146.31 : x
  2. Step 2: Convert to fraction form
    6,467.63/14,146.31 = 14,146.31/x
  3. Step 3: Cross multiply
    6,467.63x = 14,146.31 × 14,146.31
  4. Step 4: Simplify right side
    6,467.63x = 200,118,157.35
  5. Step 5: Solve for x
    x = 200,118,157.35/6,467.63
  6. Step 6: Final answer
    x = 30,941.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.