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Finding the Third Proportional to 12,116 and 26,622

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Solution

The third proportional to 12,116 and 26,622 is: 58,495.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,116 : 26,622 = 26,622 : x
  2. Step 2: Convert to fraction form
    12,116/26,622 = 26,622/x
  3. Step 3: Cross multiply
    12,116x = 26,622 × 26,622
  4. Step 4: Simplify right side
    12,116x = 708,730,884
  5. Step 5: Solve for x
    x = 708,730,884/12,116
  6. Step 6: Final answer
    x = 58,495.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.