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Finding the Third Proportional to 15,828 and 34,038

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Solution

The third proportional to 15,828 and 34,038 is: 73,198.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,828 : 34,038 = 34,038 : x
  2. Step 2: Convert to fraction form
    15,828/34,038 = 34,038/x
  3. Step 3: Cross multiply
    15,828x = 34,038 × 34,038
  4. Step 4: Simplify right side
    15,828x = 1,158,585,444
  5. Step 5: Solve for x
    x = 1,158,585,444/15,828
  6. Step 6: Final answer
    x = 73,198.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.