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Finding the Third Proportional to 26,524 and 58,232

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Solution

The third proportional to 26,524 and 58,232 is: 127,845.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,524 : 58,232 = 58,232 : x
  2. Step 2: Convert to fraction form
    26,524/58,232 = 58,232/x
  3. Step 3: Cross multiply
    26,524x = 58,232 × 58,232
  4. Step 4: Simplify right side
    26,524x = 3,390,965,824
  5. Step 5: Solve for x
    x = 3,390,965,824/26,524
  6. Step 6: Final answer
    x = 127,845.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.