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Finding the Third Proportional to 11,809 and 25,765

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Solution

The third proportional to 11,809 and 25,765 is: 56,214.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809 : 25,765 = 25,765 : x
  2. Step 2: Convert to fraction form
    11,809/25,765 = 25,765/x
  3. Step 3: Cross multiply
    11,809x = 25,765 × 25,765
  4. Step 4: Simplify right side
    11,809x = 663,835,225
  5. Step 5: Solve for x
    x = 663,835,225/11,809
  6. Step 6: Final answer
    x = 56,214.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.