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Finding the Third Proportional to 23,945 and 37,897

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Solution

The third proportional to 23,945 and 37,897 is: 59,978.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,945 : 37,897 = 37,897 : x
  2. Step 2: Convert to fraction form
    23,945/37,897 = 37,897/x
  3. Step 3: Cross multiply
    23,945x = 37,897 × 37,897
  4. Step 4: Simplify right side
    23,945x = 1,436,182,609
  5. Step 5: Solve for x
    x = 1,436,182,609/23,945
  6. Step 6: Final answer
    x = 59,978.39

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.