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Finding the Third Proportional to 26,802 and 38,277

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Solution

The third proportional to 26,802 and 38,277 is: 54,664.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,802 : 38,277 = 38,277 : x
  2. Step 2: Convert to fraction form
    26,802/38,277 = 38,277/x
  3. Step 3: Cross multiply
    26,802x = 38,277 × 38,277
  4. Step 4: Simplify right side
    26,802x = 1,465,128,729
  5. Step 5: Solve for x
    x = 1,465,128,729/26,802
  6. Step 6: Final answer
    x = 54,664.90

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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.