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Finding the Third Proportional to 19,604 and 26,286

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Solution

The third proportional to 19,604 and 26,286 is: 35,245.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,604 : 26,286 = 26,286 : x
  2. Step 2: Convert to fraction form
    19,604/26,286 = 26,286/x
  3. Step 3: Cross multiply
    19,604x = 26,286 × 26,286
  4. Step 4: Simplify right side
    19,604x = 690,953,796
  5. Step 5: Solve for x
    x = 690,953,796/19,604
  6. Step 6: Final answer
    x = 35,245.55

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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.