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Finding the Third Proportional to 29,185 and 43,351

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Solution

The third proportional to 29,185 and 43,351 is: 64,392.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,185 : 43,351 = 43,351 : x
  2. Step 2: Convert to fraction form
    29,185/43,351 = 43,351/x
  3. Step 3: Cross multiply
    29,185x = 43,351 × 43,351
  4. Step 4: Simplify right side
    29,185x = 1,879,309,201
  5. Step 5: Solve for x
    x = 1,879,309,201/29,185
  6. Step 6: Final answer
    x = 64,392.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.