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Finding the Third Proportional to 47,429 and 68,695

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Solution

The third proportional to 47,429 and 68,695 is: 99,496.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,429 : 68,695 = 68,695 : x
  2. Step 2: Convert to fraction form
    47,429/68,695 = 68,695/x
  3. Step 3: Cross multiply
    47,429x = 68,695 × 68,695
  4. Step 4: Simplify right side
    47,429x = 4,719,003,025
  5. Step 5: Solve for x
    x = 4,719,003,025/47,429
  6. Step 6: Final answer
    x = 99,496.15

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.