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Finding the Third Proportional to 23,258 and 51,682

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Solution

The third proportional to 23,258 and 51,682 is: 114,843.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,258 : 51,682 = 51,682 : x
  2. Step 2: Convert to fraction form
    23,258/51,682 = 51,682/x
  3. Step 3: Cross multiply
    23,258x = 51,682 × 51,682
  4. Step 4: Simplify right side
    23,258x = 2,671,029,124
  5. Step 5: Solve for x
    x = 2,671,029,124/23,258
  6. Step 6: Final answer
    x = 114,843.46

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.