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Finding the Third Proportional to 29,676 and 70,053

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Solution

The third proportional to 29,676 and 70,053 is: 165,366.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,676 : 70,053 = 70,053 : x
  2. Step 2: Convert to fraction form
    29,676/70,053 = 70,053/x
  3. Step 3: Cross multiply
    29,676x = 70,053 × 70,053
  4. Step 4: Simplify right side
    29,676x = 4,907,422,809
  5. Step 5: Solve for x
    x = 4,907,422,809/29,676
  6. Step 6: Final answer
    x = 165,366.72

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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.