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Finding the Third Proportional to 14,116 and 19,738

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Solution

The third proportional to 14,116 and 19,738 is: 27,599.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,116 : 19,738 = 19,738 : x
  2. Step 2: Convert to fraction form
    14,116/19,738 = 19,738/x
  3. Step 3: Cross multiply
    14,116x = 19,738 × 19,738
  4. Step 4: Simplify right side
    14,116x = 389,588,644
  5. Step 5: Solve for x
    x = 389,588,644/14,116
  6. Step 6: Final answer
    x = 27,599.08

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.