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Finding the Third Proportional to 27,938 and 38,430

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Solution

The third proportional to 27,938 and 38,430 is: 52,862.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,938 : 38,430 = 38,430 : x
  2. Step 2: Convert to fraction form
    27,938/38,430 = 38,430/x
  3. Step 3: Cross multiply
    27,938x = 38,430 × 38,430
  4. Step 4: Simplify right side
    27,938x = 1,476,864,900
  5. Step 5: Solve for x
    x = 1,476,864,900/27,938
  6. Step 6: Final answer
    x = 52,862.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.