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Finding the Third Proportional to 11,584 and 22,591

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Solution

The third proportional to 11,584 and 22,591 is: 44,056.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,584 : 22,591 = 22,591 : x
  2. Step 2: Convert to fraction form
    11,584/22,591 = 22,591/x
  3. Step 3: Cross multiply
    11,584x = 22,591 × 22,591
  4. Step 4: Simplify right side
    11,584x = 510,353,281
  5. Step 5: Solve for x
    x = 510,353,281/11,584
  6. Step 6: Final answer
    x = 44,056.74

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.