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Finding the Third Proportional to 12,242 and 19,571

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Solution

The third proportional to 12,242 and 19,571 is: 31,287.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,242 : 19,571 = 19,571 : x
  2. Step 2: Convert to fraction form
    12,242/19,571 = 19,571/x
  3. Step 3: Cross multiply
    12,242x = 19,571 × 19,571
  4. Step 4: Simplify right side
    12,242x = 383,024,041
  5. Step 5: Solve for x
    x = 383,024,041/12,242
  6. Step 6: Final answer
    x = 31,287.70

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.