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Finding the Third Proportional to 27,364 and 38,762

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Solution

The third proportional to 27,364 and 38,762 is: 54,907.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,364 : 38,762 = 38,762 : x
  2. Step 2: Convert to fraction form
    27,364/38,762 = 38,762/x
  3. Step 3: Cross multiply
    27,364x = 38,762 × 38,762
  4. Step 4: Simplify right side
    27,364x = 1,502,492,644
  5. Step 5: Solve for x
    x = 1,502,492,644/27,364
  6. Step 6: Final answer
    x = 54,907.64

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.