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Finding the Third Proportional to 11,189 and 24,565

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Solution

The third proportional to 11,189 and 24,565 is: 53,931.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,189 : 24,565 = 24,565 : x
  2. Step 2: Convert to fraction form
    11,189/24,565 = 24,565/x
  3. Step 3: Cross multiply
    11,189x = 24,565 × 24,565
  4. Step 4: Simplify right side
    11,189x = 603,439,225
  5. Step 5: Solve for x
    x = 603,439,225/11,189
  6. Step 6: Final answer
    x = 53,931.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.