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Finding the Third Proportional to 19,024 and 29,571

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Solution

The third proportional to 19,024 and 29,571 is: 45,965.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,024 : 29,571 = 29,571 : x
  2. Step 2: Convert to fraction form
    19,024/29,571 = 29,571/x
  3. Step 3: Cross multiply
    19,024x = 29,571 × 29,571
  4. Step 4: Simplify right side
    19,024x = 874,444,041
  5. Step 5: Solve for x
    x = 874,444,041/19,024
  6. Step 6: Final answer
    x = 45,965.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.