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Finding the Third Proportional to 15,193 and 32,657

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Solution

The third proportional to 15,193 and 32,657 is: 70,195.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,193 : 32,657 = 32,657 : x
  2. Step 2: Convert to fraction form
    15,193/32,657 = 32,657/x
  3. Step 3: Cross multiply
    15,193x = 32,657 × 32,657
  4. Step 4: Simplify right side
    15,193x = 1,066,479,649
  5. Step 5: Solve for x
    x = 1,066,479,649/15,193
  6. Step 6: Final answer
    x = 70,195.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.