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Finding the Third Proportional to 14,092.13 and 21,944.63

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Solution

The third proportional to 14,092.13 and 21,944.63 is: 34,172.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,092.13 : 21,944.63 = 21,944.63 : x
  2. Step 2: Convert to fraction form
    14,092.13/21,944.63 = 21,944.63/x
  3. Step 3: Cross multiply
    14,092.13x = 21,944.63 × 21,944.63
  4. Step 4: Simplify right side
    14,092.13x = 481,566,566.39
  5. Step 5: Solve for x
    x = 481,566,566.39/14,092.13
  6. Step 6: Final answer
    x = 34,172.74

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.