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Finding the Third Proportional to 27,321 and 58,938

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Solution

The third proportional to 27,321 and 58,938 is: 127,143.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,321 : 58,938 = 58,938 : x
  2. Step 2: Convert to fraction form
    27,321/58,938 = 58,938/x
  3. Step 3: Cross multiply
    27,321x = 58,938 × 58,938
  4. Step 4: Simplify right side
    27,321x = 3,473,687,844
  5. Step 5: Solve for x
    x = 3,473,687,844/27,321
  6. Step 6: Final answer
    x = 127,143.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.