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Finding the Third Proportional to 25,005 and 53,193

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Solution

The third proportional to 25,005 and 53,193 is: 113,157.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,005 : 53,193 = 53,193 : x
  2. Step 2: Convert to fraction form
    25,005/53,193 = 53,193/x
  3. Step 3: Cross multiply
    25,005x = 53,193 × 53,193
  4. Step 4: Simplify right side
    25,005x = 2,829,495,249
  5. Step 5: Solve for x
    x = 2,829,495,249/25,005
  6. Step 6: Final answer
    x = 113,157.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.