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Finding the Third Proportional to 23,036 and 30,684

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Solution

The third proportional to 23,036 and 30,684 is: 40,871.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,036 : 30,684 = 30,684 : x
  2. Step 2: Convert to fraction form
    23,036/30,684 = 30,684/x
  3. Step 3: Cross multiply
    23,036x = 30,684 × 30,684
  4. Step 4: Simplify right side
    23,036x = 941,507,856
  5. Step 5: Solve for x
    x = 941,507,856/23,036
  6. Step 6: Final answer
    x = 40,871.15

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.