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Finding the Third Proportional to 26,336 and 34,200

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Solution

The third proportional to 26,336 and 34,200 is: 44,412.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,336 : 34,200 = 34,200 : x
  2. Step 2: Convert to fraction form
    26,336/34,200 = 34,200/x
  3. Step 3: Cross multiply
    26,336x = 34,200 × 34,200
  4. Step 4: Simplify right side
    26,336x = 1,169,640,000
  5. Step 5: Solve for x
    x = 1,169,640,000/26,336
  6. Step 6: Final answer
    x = 44,412.21

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.