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Finding the Third Proportional to 29,696 and 47,355

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Solution

The third proportional to 29,696 and 47,355 is: 75,515.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,696 : 47,355 = 47,355 : x
  2. Step 2: Convert to fraction form
    29,696/47,355 = 47,355/x
  3. Step 3: Cross multiply
    29,696x = 47,355 × 47,355
  4. Step 4: Simplify right side
    29,696x = 2,242,496,025
  5. Step 5: Solve for x
    x = 2,242,496,025/29,696
  6. Step 6: Final answer
    x = 75,515.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.