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Finding the Third Proportional to 15,257 and 32,855

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Solution

The third proportional to 15,257 and 32,855 is: 70,751.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,257 : 32,855 = 32,855 : x
  2. Step 2: Convert to fraction form
    15,257/32,855 = 32,855/x
  3. Step 3: Cross multiply
    15,257x = 32,855 × 32,855
  4. Step 4: Simplify right side
    15,257x = 1,079,451,025
  5. Step 5: Solve for x
    x = 1,079,451,025/15,257
  6. Step 6: Final answer
    x = 70,751.20

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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.