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Finding the Third Proportional to 33,902 and 51,547

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Solution

The third proportional to 33,902 and 51,547 is: 78,375.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,902 : 51,547 = 51,547 : x
  2. Step 2: Convert to fraction form
    33,902/51,547 = 51,547/x
  3. Step 3: Cross multiply
    33,902x = 51,547 × 51,547
  4. Step 4: Simplify right side
    33,902x = 2,657,093,209
  5. Step 5: Solve for x
    x = 2,657,093,209/33,902
  6. Step 6: Final answer
    x = 78,375.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.