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Finding the Third Proportional to 26,364 and 35,790

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Solution

The third proportional to 26,364 and 35,790 is: 48,586.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,364 : 35,790 = 35,790 : x
  2. Step 2: Convert to fraction form
    26,364/35,790 = 35,790/x
  3. Step 3: Cross multiply
    26,364x = 35,790 × 35,790
  4. Step 4: Simplify right side
    26,364x = 1,280,924,100
  5. Step 5: Solve for x
    x = 1,280,924,100/26,364
  6. Step 6: Final answer
    x = 48,586.11

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.