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Finding the Third Proportional to 29,678 and 41,745

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Solution

The third proportional to 29,678 and 41,745 is: 58,718.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,678 : 41,745 = 41,745 : x
  2. Step 2: Convert to fraction form
    29,678/41,745 = 41,745/x
  3. Step 3: Cross multiply
    29,678x = 41,745 × 41,745
  4. Step 4: Simplify right side
    29,678x = 1,742,645,025
  5. Step 5: Solve for x
    x = 1,742,645,025/29,678
  6. Step 6: Final answer
    x = 58,718.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.