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Finding the Third Proportional to 14,391 and 33,639

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Solution

The third proportional to 14,391 and 33,639 is: 78,631.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,391 : 33,639 = 33,639 : x
  2. Step 2: Convert to fraction form
    14,391/33,639 = 33,639/x
  3. Step 3: Cross multiply
    14,391x = 33,639 × 33,639
  4. Step 4: Simplify right side
    14,391x = 1,131,582,321
  5. Step 5: Solve for x
    x = 1,131,582,321/14,391
  6. Step 6: Final answer
    x = 78,631.25

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.