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Finding the Third Proportional to 15,965 and 25,267

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Solution

The third proportional to 15,965 and 25,267 is: 39,988.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,965 : 25,267 = 25,267 : x
  2. Step 2: Convert to fraction form
    15,965/25,267 = 25,267/x
  3. Step 3: Cross multiply
    15,965x = 25,267 × 25,267
  4. Step 4: Simplify right side
    15,965x = 638,421,289
  5. Step 5: Solve for x
    x = 638,421,289/15,965
  6. Step 6: Final answer
    x = 39,988.81

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.