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Finding the Third Proportional to 19,783 and 26,425

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Solution

The third proportional to 19,783 and 26,425 is: 35,297.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,783 : 26,425 = 26,425 : x
  2. Step 2: Convert to fraction form
    19,783/26,425 = 26,425/x
  3. Step 3: Cross multiply
    19,783x = 26,425 × 26,425
  4. Step 4: Simplify right side
    19,783x = 698,280,625
  5. Step 5: Solve for x
    x = 698,280,625/19,783
  6. Step 6: Final answer
    x = 35,297.00

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.