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Finding the Third Proportional to 13,810 and 30,116

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Solution

The third proportional to 13,810 and 30,116 is: 65,675.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810 : 30,116 = 30,116 : x
  2. Step 2: Convert to fraction form
    13,810/30,116 = 30,116/x
  3. Step 3: Cross multiply
    13,810x = 30,116 × 30,116
  4. Step 4: Simplify right side
    13,810x = 906,973,456
  5. Step 5: Solve for x
    x = 906,973,456/13,810
  6. Step 6: Final answer
    x = 65,675.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.