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Finding the Third Proportional to 15,116 and 33,391

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Solution

The third proportional to 15,116 and 33,391 is: 73,760.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,116 : 33,391 = 33,391 : x
  2. Step 2: Convert to fraction form
    15,116/33,391 = 33,391/x
  3. Step 3: Cross multiply
    15,116x = 33,391 × 33,391
  4. Step 4: Simplify right side
    15,116x = 1,114,958,881
  5. Step 5: Solve for x
    x = 1,114,958,881/15,116
  6. Step 6: Final answer
    x = 73,760.18

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.