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Finding the Third Proportional to 29,893.50 and 70,467.75

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Solution

The third proportional to 29,893.50 and 70,467.75 is: 166,113.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,893.50 : 70,467.75 = 70,467.75 : x
  2. Step 2: Convert to fraction form
    29,893.50/70,467.75 = 70,467.75/x
  3. Step 3: Cross multiply
    29,893.50x = 70,467.75 × 70,467.75
  4. Step 4: Simplify right side
    29,893.50x = 4,965,703,790.06
  5. Step 5: Solve for x
    x = 4,965,703,790.06/29,893.50
  6. Step 6: Final answer
    x = 166,113.16

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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.