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Finding the Third Proportional to 11,030 and 23,790

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Solution

The third proportional to 11,030 and 23,790 is: 51,311.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,030 : 23,790 = 23,790 : x
  2. Step 2: Convert to fraction form
    11,030/23,790 = 23,790/x
  3. Step 3: Cross multiply
    11,030x = 23,790 × 23,790
  4. Step 4: Simplify right side
    11,030x = 565,964,100
  5. Step 5: Solve for x
    x = 565,964,100/11,030
  6. Step 6: Final answer
    x = 51,311.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.