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Finding the Third Proportional to 11,569 and 24,865

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Solution

The third proportional to 11,569 and 24,865 is: 53,441.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,569 : 24,865 = 24,865 : x
  2. Step 2: Convert to fraction form
    11,569/24,865 = 24,865/x
  3. Step 3: Cross multiply
    11,569x = 24,865 × 24,865
  4. Step 4: Simplify right side
    11,569x = 618,268,225
  5. Step 5: Solve for x
    x = 618,268,225/11,569
  6. Step 6: Final answer
    x = 53,441.80

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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.