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Finding the Third Proportional to 13,116 and 19,118

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Solution

The third proportional to 13,116 and 19,118 is: 27,866.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,116 : 19,118 = 19,118 : x
  2. Step 2: Convert to fraction form
    13,116/19,118 = 19,118/x
  3. Step 3: Cross multiply
    13,116x = 19,118 × 19,118
  4. Step 4: Simplify right side
    13,116x = 365,497,924
  5. Step 5: Solve for x
    x = 365,497,924/13,116
  6. Step 6: Final answer
    x = 27,866.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.