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Finding the Third Proportional to 29,634 and 39,159

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Solution

The third proportional to 29,634 and 39,159 is: 51,745.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,634 : 39,159 = 39,159 : x
  2. Step 2: Convert to fraction form
    29,634/39,159 = 39,159/x
  3. Step 3: Cross multiply
    29,634x = 39,159 × 39,159
  4. Step 4: Simplify right side
    29,634x = 1,533,427,281
  5. Step 5: Solve for x
    x = 1,533,427,281/29,634
  6. Step 6: Final answer
    x = 51,745.54

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.