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Finding the Third Proportional to 29,046 and 67,245

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Solution

The third proportional to 29,046 and 67,245 is: 155,680.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,046 : 67,245 = 67,245 : x
  2. Step 2: Convert to fraction form
    29,046/67,245 = 67,245/x
  3. Step 3: Cross multiply
    29,046x = 67,245 × 67,245
  4. Step 4: Simplify right side
    29,046x = 4,521,890,025
  5. Step 5: Solve for x
    x = 4,521,890,025/29,046
  6. Step 6: Final answer
    x = 155,680.30

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.