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Finding the Third Proportional to 15,916 and 34,450

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Solution

The third proportional to 15,916 and 34,450 is: 74,566.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,916 : 34,450 = 34,450 : x
  2. Step 2: Convert to fraction form
    15,916/34,450 = 34,450/x
  3. Step 3: Cross multiply
    15,916x = 34,450 × 34,450
  4. Step 4: Simplify right side
    15,916x = 1,186,802,500
  5. Step 5: Solve for x
    x = 1,186,802,500/15,916
  6. Step 6: Final answer
    x = 74,566.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.