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Finding the Third Proportional to 26,300 and 36,156

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Solution

The third proportional to 26,300 and 36,156 is: 49,705.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,300 : 36,156 = 36,156 : x
  2. Step 2: Convert to fraction form
    26,300/36,156 = 36,156/x
  3. Step 3: Cross multiply
    26,300x = 36,156 × 36,156
  4. Step 4: Simplify right side
    26,300x = 1,307,256,336
  5. Step 5: Solve for x
    x = 1,307,256,336/26,300
  6. Step 6: Final answer
    x = 49,705.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.