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Finding the Third Proportional to 35,138 and 54,723

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Solution

The third proportional to 35,138 and 54,723 is: 85,224.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,138 : 54,723 = 54,723 : x
  2. Step 2: Convert to fraction form
    35,138/54,723 = 54,723/x
  3. Step 3: Cross multiply
    35,138x = 54,723 × 54,723
  4. Step 4: Simplify right side
    35,138x = 2,994,606,729
  5. Step 5: Solve for x
    x = 2,994,606,729/35,138
  6. Step 6: Final answer
    x = 85,224.17

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.