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Finding the Third Proportional to 26,784 and 38,263

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Solution

The third proportional to 26,784 and 38,263 is: 54,661.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,784 : 38,263 = 38,263 : x
  2. Step 2: Convert to fraction form
    26,784/38,263 = 38,263/x
  3. Step 3: Cross multiply
    26,784x = 38,263 × 38,263
  4. Step 4: Simplify right side
    26,784x = 1,464,057,169
  5. Step 5: Solve for x
    x = 1,464,057,169/26,784
  6. Step 6: Final answer
    x = 54,661.63

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.