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Finding the Third Proportional to 11,723 and 26,038

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Solution

The third proportional to 11,723 and 26,038 is: 57,833.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,723 : 26,038 = 26,038 : x
  2. Step 2: Convert to fraction form
    11,723/26,038 = 26,038/x
  3. Step 3: Cross multiply
    11,723x = 26,038 × 26,038
  4. Step 4: Simplify right side
    11,723x = 677,977,444
  5. Step 5: Solve for x
    x = 677,977,444/11,723
  6. Step 6: Final answer
    x = 57,833.10

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.