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Finding the Third Proportional to 26,696 and 38,666

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Solution

The third proportional to 26,696 and 38,666 is: 56,003.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,696 : 38,666 = 38,666 : x
  2. Step 2: Convert to fraction form
    26,696/38,666 = 38,666/x
  3. Step 3: Cross multiply
    26,696x = 38,666 × 38,666
  4. Step 4: Simplify right side
    26,696x = 1,495,059,556
  5. Step 5: Solve for x
    x = 1,495,059,556/26,696
  6. Step 6: Final answer
    x = 56,003.13

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.