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Finding the Third Proportional to 14,127.75 and 19,187.44

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Solution

The third proportional to 14,127.75 and 19,187.44 is: 26,059.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,127.75 : 19,187.44 = 19,187.44 : x
  2. Step 2: Convert to fraction form
    14,127.75/19,187.44 = 19,187.44/x
  3. Step 3: Cross multiply
    14,127.75x = 19,187.44 × 19,187.44
  4. Step 4: Simplify right side
    14,127.75x = 368,157,757.82
  5. Step 5: Solve for x
    x = 368,157,757.82/14,127.75
  6. Step 6: Final answer
    x = 26,059.19

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.