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Finding the Third Proportional to 27,294 and 38,627

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Solution

The third proportional to 27,294 and 38,627 is: 54,665.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,294 : 38,627 = 38,627 : x
  2. Step 2: Convert to fraction form
    27,294/38,627 = 38,627/x
  3. Step 3: Cross multiply
    27,294x = 38,627 × 38,627
  4. Step 4: Simplify right side
    27,294x = 1,492,045,129
  5. Step 5: Solve for x
    x = 1,492,045,129/27,294
  6. Step 6: Final answer
    x = 54,665.68

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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.