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Finding the Third Proportional to 35,794 and 55,043

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Solution

The third proportional to 35,794 and 55,043 is: 84,643.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,794 : 55,043 = 55,043 : x
  2. Step 2: Convert to fraction form
    35,794/55,043 = 55,043/x
  3. Step 3: Cross multiply
    35,794x = 55,043 × 55,043
  4. Step 4: Simplify right side
    35,794x = 3,029,731,849
  5. Step 5: Solve for x
    x = 3,029,731,849/35,794
  6. Step 6: Final answer
    x = 84,643.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.