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Finding the Third Proportional to 26,938 and 58,484

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Solution

The third proportional to 26,938 and 58,484 is: 126,972.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,938 : 58,484 = 58,484 : x
  2. Step 2: Convert to fraction form
    26,938/58,484 = 58,484/x
  3. Step 3: Cross multiply
    26,938x = 58,484 × 58,484
  4. Step 4: Simplify right side
    26,938x = 3,420,378,256
  5. Step 5: Solve for x
    x = 3,420,378,256/26,938
  6. Step 6: Final answer
    x = 126,972.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.