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Finding the Third Proportional to 25,642 and 38,805

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Solution

The third proportional to 25,642 and 38,805 is: 58,725.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,642 : 38,805 = 38,805 : x
  2. Step 2: Convert to fraction form
    25,642/38,805 = 38,805/x
  3. Step 3: Cross multiply
    25,642x = 38,805 × 38,805
  4. Step 4: Simplify right side
    25,642x = 1,505,828,025
  5. Step 5: Solve for x
    x = 1,505,828,025/25,642
  6. Step 6: Final answer
    x = 58,725.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.