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Finding the Third Proportional to 7,897 and 18,235

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Solution

The third proportional to 7,897 and 18,235 is: 42,106.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897 : 18,235 = 18,235 : x
  2. Step 2: Convert to fraction form
    7,897/18,235 = 18,235/x
  3. Step 3: Cross multiply
    7,897x = 18,235 × 18,235
  4. Step 4: Simplify right side
    7,897x = 332,515,225
  5. Step 5: Solve for x
    x = 332,515,225/7,897
  6. Step 6: Final answer
    x = 42,106.52

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.