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Finding the Third Proportional to 11,030 and 23,914

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Solution

The third proportional to 11,030 and 23,914 is: 51,847.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,030 : 23,914 = 23,914 : x
  2. Step 2: Convert to fraction form
    11,030/23,914 = 23,914/x
  3. Step 3: Cross multiply
    11,030x = 23,914 × 23,914
  4. Step 4: Simplify right side
    11,030x = 571,879,396
  5. Step 5: Solve for x
    x = 571,879,396/11,030
  6. Step 6: Final answer
    x = 51,847.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.