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Finding the Third Proportional to 26,835 and 58,280

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Solution

The third proportional to 26,835 and 58,280 is: 126,571.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,835 : 58,280 = 58,280 : x
  2. Step 2: Convert to fraction form
    26,835/58,280 = 58,280/x
  3. Step 3: Cross multiply
    26,835x = 58,280 × 58,280
  4. Step 4: Simplify right side
    26,835x = 3,396,558,400
  5. Step 5: Solve for x
    x = 3,396,558,400/26,835
  6. Step 6: Final answer
    x = 126,571.95

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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.