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Finding the Third Proportional to 14,121 and 27,887.63

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Solution

The third proportional to 14,121 and 27,887.63 is: 55,075.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,121 : 27,887.63 = 27,887.63 : x
  2. Step 2: Convert to fraction form
    14,121/27,887.63 = 27,887.63/x
  3. Step 3: Cross multiply
    14,121x = 27,887.63 × 27,887.63
  4. Step 4: Simplify right side
    14,121x = 777,719,628.14
  5. Step 5: Solve for x
    x = 777,719,628.14/14,121
  6. Step 6: Final answer
    x = 55,075.39

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.