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Finding the Third Proportional to 29,675 and 70,051

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Solution

The third proportional to 29,675 and 70,051 is: 165,362.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,675 : 70,051 = 70,051 : x
  2. Step 2: Convert to fraction form
    29,675/70,051 = 70,051/x
  3. Step 3: Cross multiply
    29,675x = 70,051 × 70,051
  4. Step 4: Simplify right side
    29,675x = 4,907,142,601
  5. Step 5: Solve for x
    x = 4,907,142,601/29,675
  6. Step 6: Final answer
    x = 165,362.85

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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.