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Finding the Third Proportional to 17,783 and 26,026

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Solution

The third proportional to 17,783 and 26,026 is: 38,089.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,783 : 26,026 = 26,026 : x
  2. Step 2: Convert to fraction form
    17,783/26,026 = 26,026/x
  3. Step 3: Cross multiply
    17,783x = 26,026 × 26,026
  4. Step 4: Simplify right side
    17,783x = 677,352,676
  5. Step 5: Solve for x
    x = 677,352,676/17,783
  6. Step 6: Final answer
    x = 38,089.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.