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Finding the Third Proportional to 28,846 and 69,813

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Solution

The third proportional to 28,846 and 69,813 is: 168,961.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,846 : 69,813 = 69,813 : x
  2. Step 2: Convert to fraction form
    28,846/69,813 = 69,813/x
  3. Step 3: Cross multiply
    28,846x = 69,813 × 69,813
  4. Step 4: Simplify right side
    28,846x = 4,873,854,969
  5. Step 5: Solve for x
    x = 4,873,854,969/28,846
  6. Step 6: Final answer
    x = 168,961.21

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.