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Finding the Third Proportional to 26,636 and 57,880

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Solution

The third proportional to 26,636 and 57,880 is: 125,773.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,636 : 57,880 = 57,880 : x
  2. Step 2: Convert to fraction form
    26,636/57,880 = 57,880/x
  3. Step 3: Cross multiply
    26,636x = 57,880 × 57,880
  4. Step 4: Simplify right side
    26,636x = 3,350,094,400
  5. Step 5: Solve for x
    x = 3,350,094,400/26,636
  6. Step 6: Final answer
    x = 125,773.18

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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.