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Finding the Third Proportional to 26,446 and 57,968

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Solution

The third proportional to 26,446 and 57,968 is: 127,062.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,446 : 57,968 = 57,968 : x
  2. Step 2: Convert to fraction form
    26,446/57,968 = 57,968/x
  3. Step 3: Cross multiply
    26,446x = 57,968 × 57,968
  4. Step 4: Simplify right side
    26,446x = 3,360,289,024
  5. Step 5: Solve for x
    x = 3,360,289,024/26,446
  6. Step 6: Final answer
    x = 127,062.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.