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Finding the Third Proportional to 13,586 and 32,724

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Solution

The third proportional to 13,586 and 32,724 is: 78,820.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,586 : 32,724 = 32,724 : x
  2. Step 2: Convert to fraction form
    13,586/32,724 = 32,724/x
  3. Step 3: Cross multiply
    13,586x = 32,724 × 32,724
  4. Step 4: Simplify right side
    13,586x = 1,070,860,176
  5. Step 5: Solve for x
    x = 1,070,860,176/13,586
  6. Step 6: Final answer
    x = 78,820.86

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.