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Finding the Third Proportional to 15,994 and 23,980

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Solution

The third proportional to 15,994 and 23,980 is: 35,953.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,994 : 23,980 = 23,980 : x
  2. Step 2: Convert to fraction form
    15,994/23,980 = 23,980/x
  3. Step 3: Cross multiply
    15,994x = 23,980 × 23,980
  4. Step 4: Simplify right side
    15,994x = 575,040,400
  5. Step 5: Solve for x
    x = 575,040,400/15,994
  6. Step 6: Final answer
    x = 35,953.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.