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Finding the Third Proportional to 5,953 and 12,820

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Solution

The third proportional to 5,953 and 12,820 is: 27,608.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,953 : 12,820 = 12,820 : x
  2. Step 2: Convert to fraction form
    5,953/12,820 = 12,820/x
  3. Step 3: Cross multiply
    5,953x = 12,820 × 12,820
  4. Step 4: Simplify right side
    5,953x = 164,352,400
  5. Step 5: Solve for x
    x = 164,352,400/5,953
  6. Step 6: Final answer
    x = 27,608.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.