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Finding the Third Proportional to 29,693 and 70,961

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Solution

The third proportional to 29,693 and 70,961 is: 169,584.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,693 : 70,961 = 70,961 : x
  2. Step 2: Convert to fraction form
    29,693/70,961 = 70,961/x
  3. Step 3: Cross multiply
    29,693x = 70,961 × 70,961
  4. Step 4: Simplify right side
    29,693x = 5,035,463,521
  5. Step 5: Solve for x
    x = 5,035,463,521/29,693
  6. Step 6: Final answer
    x = 169,584.20

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.