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Finding the Third Proportional to 15,884 and 22,584

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Solution

The third proportional to 15,884 and 22,584 is: 32,110.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,884 : 22,584 = 22,584 : x
  2. Step 2: Convert to fraction form
    15,884/22,584 = 22,584/x
  3. Step 3: Cross multiply
    15,884x = 22,584 × 22,584
  4. Step 4: Simplify right side
    15,884x = 510,037,056
  5. Step 5: Solve for x
    x = 510,037,056/15,884
  6. Step 6: Final answer
    x = 32,110.11

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.