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Finding the Third Proportional to 15,464 and 33,391

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Solution

The third proportional to 15,464 and 33,391 is: 72,100.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,464 : 33,391 = 33,391 : x
  2. Step 2: Convert to fraction form
    15,464/33,391 = 33,391/x
  3. Step 3: Cross multiply
    15,464x = 33,391 × 33,391
  4. Step 4: Simplify right side
    15,464x = 1,114,958,881
  5. Step 5: Solve for x
    x = 1,114,958,881/15,464
  6. Step 6: Final answer
    x = 72,100.29

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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.