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Finding the Third Proportional to 11,895 and 25,633

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Solution

The third proportional to 11,895 and 25,633 is: 55,237.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,895 : 25,633 = 25,633 : x
  2. Step 2: Convert to fraction form
    11,895/25,633 = 25,633/x
  3. Step 3: Cross multiply
    11,895x = 25,633 × 25,633
  4. Step 4: Simplify right side
    11,895x = 657,050,689
  5. Step 5: Solve for x
    x = 657,050,689/11,895
  6. Step 6: Final answer
    x = 55,237.55

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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.