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Finding the Third Proportional to 26,504 and 35,164

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Solution

The third proportional to 26,504 and 35,164 is: 46,653.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,504 : 35,164 = 35,164 : x
  2. Step 2: Convert to fraction form
    26,504/35,164 = 35,164/x
  3. Step 3: Cross multiply
    26,504x = 35,164 × 35,164
  4. Step 4: Simplify right side
    26,504x = 1,236,506,896
  5. Step 5: Solve for x
    x = 1,236,506,896/26,504
  6. Step 6: Final answer
    x = 46,653.60

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.