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Finding the Third Proportional to 19,806 and 42,897

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Solution

The third proportional to 19,806 and 42,897 is: 92,908.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,806 : 42,897 = 42,897 : x
  2. Step 2: Convert to fraction form
    19,806/42,897 = 42,897/x
  3. Step 3: Cross multiply
    19,806x = 42,897 × 42,897
  4. Step 4: Simplify right side
    19,806x = 1,840,152,609
  5. Step 5: Solve for x
    x = 1,840,152,609/19,806
  6. Step 6: Final answer
    x = 92,908.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.