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Finding the Third Proportional to 26,870 and 40,897

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Solution

The third proportional to 26,870 and 40,897 is: 62,246.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,870 : 40,897 = 40,897 : x
  2. Step 2: Convert to fraction form
    26,870/40,897 = 40,897/x
  3. Step 3: Cross multiply
    26,870x = 40,897 × 40,897
  4. Step 4: Simplify right side
    26,870x = 1,672,564,609
  5. Step 5: Solve for x
    x = 1,672,564,609/26,870
  6. Step 6: Final answer
    x = 62,246.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.