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Finding the Third Proportional to 29,078 and 43,653

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Solution

The third proportional to 29,078 and 43,653 is: 65,533.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,078 : 43,653 = 43,653 : x
  2. Step 2: Convert to fraction form
    29,078/43,653 = 43,653/x
  3. Step 3: Cross multiply
    29,078x = 43,653 × 43,653
  4. Step 4: Simplify right side
    29,078x = 1,905,584,409
  5. Step 5: Solve for x
    x = 1,905,584,409/29,078
  6. Step 6: Final answer
    x = 65,533.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.