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Finding the Third Proportional to 29,234 and 41,655

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Solution

The third proportional to 29,234 and 41,655 is: 59,353.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,234 : 41,655 = 41,655 : x
  2. Step 2: Convert to fraction form
    29,234/41,655 = 41,655/x
  3. Step 3: Cross multiply
    29,234x = 41,655 × 41,655
  4. Step 4: Simplify right side
    29,234x = 1,735,139,025
  5. Step 5: Solve for x
    x = 1,735,139,025/29,234
  6. Step 6: Final answer
    x = 59,353.46

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.