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Finding the Third Proportional to 26,636 and 38,370

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Solution

The third proportional to 26,636 and 38,370 is: 55,273.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,636 : 38,370 = 38,370 : x
  2. Step 2: Convert to fraction form
    26,636/38,370 = 38,370/x
  3. Step 3: Cross multiply
    26,636x = 38,370 × 38,370
  4. Step 4: Simplify right side
    26,636x = 1,472,256,900
  5. Step 5: Solve for x
    x = 1,472,256,900/26,636
  6. Step 6: Final answer
    x = 55,273.20

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.