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Finding the Third Proportional to 26,968 and 58,520

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Solution

The third proportional to 26,968 and 58,520 is: 126,987.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,968 : 58,520 = 58,520 : x
  2. Step 2: Convert to fraction form
    26,968/58,520 = 58,520/x
  3. Step 3: Cross multiply
    26,968x = 58,520 × 58,520
  4. Step 4: Simplify right side
    26,968x = 3,424,590,400
  5. Step 5: Solve for x
    x = 3,424,590,400/26,968
  6. Step 6: Final answer
    x = 126,987.18

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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.