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Finding the Third Proportional to 33,926.50 and 51,897.75

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Solution

The third proportional to 33,926.50 and 51,897.75 is: 79,388.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,926.50 : 51,897.75 = 51,897.75 : x
  2. Step 2: Convert to fraction form
    33,926.50/51,897.75 = 51,897.75/x
  3. Step 3: Cross multiply
    33,926.50x = 51,897.75 × 51,897.75
  4. Step 4: Simplify right side
    33,926.50x = 2,693,376,455.06
  5. Step 5: Solve for x
    x = 2,693,376,455.06/33,926.50
  6. Step 6: Final answer
    x = 79,388.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.