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Finding the Third Proportional to 29,956 and 70,690

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Solution

The third proportional to 29,956 and 70,690 is: 166,813.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,956 : 70,690 = 70,690 : x
  2. Step 2: Convert to fraction form
    29,956/70,690 = 70,690/x
  3. Step 3: Cross multiply
    29,956x = 70,690 × 70,690
  4. Step 4: Simplify right side
    29,956x = 4,997,076,100
  5. Step 5: Solve for x
    x = 4,997,076,100/29,956
  6. Step 6: Final answer
    x = 166,813.86

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.