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Finding the Third Proportional to 13,674 and 32,261

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Solution

The third proportional to 13,674 and 32,261 is: 76,113.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674 : 32,261 = 32,261 : x
  2. Step 2: Convert to fraction form
    13,674/32,261 = 32,261/x
  3. Step 3: Cross multiply
    13,674x = 32,261 × 32,261
  4. Step 4: Simplify right side
    13,674x = 1,040,772,121
  5. Step 5: Solve for x
    x = 1,040,772,121/13,674
  6. Step 6: Final answer
    x = 76,113.22

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.