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Finding the Third Proportional to 26,524 and 58,064

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Solution

The third proportional to 26,524 and 58,064 is: 127,108.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,524 : 58,064 = 58,064 : x
  2. Step 2: Convert to fraction form
    26,524/58,064 = 58,064/x
  3. Step 3: Cross multiply
    26,524x = 58,064 × 58,064
  4. Step 4: Simplify right side
    26,524x = 3,371,428,096
  5. Step 5: Solve for x
    x = 3,371,428,096/26,524
  6. Step 6: Final answer
    x = 127,108.58

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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.