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Finding the Third Proportional to 47,369 and 68,434

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Solution

The third proportional to 47,369 and 68,434 is: 98,866.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,369 : 68,434 = 68,434 : x
  2. Step 2: Convert to fraction form
    47,369/68,434 = 68,434/x
  3. Step 3: Cross multiply
    47,369x = 68,434 × 68,434
  4. Step 4: Simplify right side
    47,369x = 4,683,212,356
  5. Step 5: Solve for x
    x = 4,683,212,356/47,369
  6. Step 6: Final answer
    x = 98,866.61

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.