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Finding the Third Proportional to 14,144.63 and 21,218.63

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Solution

The third proportional to 14,144.63 and 21,218.63 is: 31,830.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,144.63 : 21,218.63 = 21,218.63 : x
  2. Step 2: Convert to fraction form
    14,144.63/21,218.63 = 21,218.63/x
  3. Step 3: Cross multiply
    14,144.63x = 21,218.63 × 21,218.63
  4. Step 4: Simplify right side
    14,144.63x = 450,230,046.89
  5. Step 5: Solve for x
    x = 450,230,046.89/14,144.63
  6. Step 6: Final answer
    x = 31,830.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.