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Finding the Third Proportional to 15,896 and 25,216

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Solution

The third proportional to 15,896 and 25,216 is: 40,000.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,896 : 25,216 = 25,216 : x
  2. Step 2: Convert to fraction form
    15,896/25,216 = 25,216/x
  3. Step 3: Cross multiply
    15,896x = 25,216 × 25,216
  4. Step 4: Simplify right side
    15,896x = 635,846,656
  5. Step 5: Solve for x
    x = 635,846,656/15,896
  6. Step 6: Final answer
    x = 40,000.42

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.