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Finding the Third Proportional to 19,594 and 28,571

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Solution

The third proportional to 19,594 and 28,571 is: 41,660.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,594 : 28,571 = 28,571 : x
  2. Step 2: Convert to fraction form
    19,594/28,571 = 28,571/x
  3. Step 3: Cross multiply
    19,594x = 28,571 × 28,571
  4. Step 4: Simplify right side
    19,594x = 816,302,041
  5. Step 5: Solve for x
    x = 816,302,041/19,594
  6. Step 6: Final answer
    x = 41,660.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.