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Finding the Third Proportional to 24,686 and 35,182

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Solution

The third proportional to 24,686 and 35,182 is: 50,140.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,686 : 35,182 = 35,182 : x
  2. Step 2: Convert to fraction form
    24,686/35,182 = 35,182/x
  3. Step 3: Cross multiply
    24,686x = 35,182 × 35,182
  4. Step 4: Simplify right side
    24,686x = 1,237,773,124
  5. Step 5: Solve for x
    x = 1,237,773,124/24,686
  6. Step 6: Final answer
    x = 50,140.69

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.