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Finding the Third Proportional to 26,638 and 58,460

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Solution

The third proportional to 26,638 and 58,460 is: 128,296.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,638 : 58,460 = 58,460 : x
  2. Step 2: Convert to fraction form
    26,638/58,460 = 58,460/x
  3. Step 3: Cross multiply
    26,638x = 58,460 × 58,460
  4. Step 4: Simplify right side
    26,638x = 3,417,571,600
  5. Step 5: Solve for x
    x = 3,417,571,600/26,638
  6. Step 6: Final answer
    x = 128,296.85

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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.