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Finding the Third Proportional to 15,434 and 21,855

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Solution

The third proportional to 15,434 and 21,855 is: 30,947.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,434 : 21,855 = 21,855 : x
  2. Step 2: Convert to fraction form
    15,434/21,855 = 21,855/x
  3. Step 3: Cross multiply
    15,434x = 21,855 × 21,855
  4. Step 4: Simplify right side
    15,434x = 477,641,025
  5. Step 5: Solve for x
    x = 477,641,025/15,434
  6. Step 6: Final answer
    x = 30,947.33

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.