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Finding the Third Proportional to 11,576 and 24,584

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Solution

The third proportional to 11,576 and 24,584 is: 52,209.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,576 : 24,584 = 24,584 : x
  2. Step 2: Convert to fraction form
    11,576/24,584 = 24,584/x
  3. Step 3: Cross multiply
    11,576x = 24,584 × 24,584
  4. Step 4: Simplify right side
    11,576x = 604,373,056
  5. Step 5: Solve for x
    x = 604,373,056/11,576
  6. Step 6: Final answer
    x = 52,209.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.