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Finding the Third Proportional to 26,546 and 40,160

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Solution

The third proportional to 26,546 and 40,160 is: 60,755.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,546 : 40,160 = 40,160 : x
  2. Step 2: Convert to fraction form
    26,546/40,160 = 40,160/x
  3. Step 3: Cross multiply
    26,546x = 40,160 × 40,160
  4. Step 4: Simplify right side
    26,546x = 1,612,825,600
  5. Step 5: Solve for x
    x = 1,612,825,600/26,546
  6. Step 6: Final answer
    x = 60,755.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.