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Finding the Third Proportional to 19,403 and 41,897

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Solution

The third proportional to 19,403 and 41,897 is: 90,468.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,403 : 41,897 = 41,897 : x
  2. Step 2: Convert to fraction form
    19,403/41,897 = 41,897/x
  3. Step 3: Cross multiply
    19,403x = 41,897 × 41,897
  4. Step 4: Simplify right side
    19,403x = 1,755,358,609
  5. Step 5: Solve for x
    x = 1,755,358,609/19,403
  6. Step 6: Final answer
    x = 90,468.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.