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Finding the Third Proportional to 15,026 and 19,945

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Solution

The third proportional to 15,026 and 19,945 is: 26,474.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,026 : 19,945 = 19,945 : x
  2. Step 2: Convert to fraction form
    15,026/19,945 = 19,945/x
  3. Step 3: Cross multiply
    15,026x = 19,945 × 19,945
  4. Step 4: Simplify right side
    15,026x = 397,803,025
  5. Step 5: Solve for x
    x = 397,803,025/15,026
  6. Step 6: Final answer
    x = 26,474.31

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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.