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Finding the Third Proportional to 25,965 and 28,395

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Solution

The third proportional to 25,965 and 28,395 is: 31,052.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,965 : 28,395 = 28,395 : x
  2. Step 2: Convert to fraction form
    25,965/28,395 = 28,395/x
  3. Step 3: Cross multiply
    25,965x = 28,395 × 28,395
  4. Step 4: Simplify right side
    25,965x = 806,276,025
  5. Step 5: Solve for x
    x = 806,276,025/25,965
  6. Step 6: Final answer
    x = 31,052.42

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.