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Finding the Third Proportional to 33,897 and 51,283.50

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Solution

The third proportional to 33,897 and 51,283.50 is: 77,587.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,897 : 51,283.50 = 51,283.50 : x
  2. Step 2: Convert to fraction form
    33,897/51,283.50 = 51,283.50/x
  3. Step 3: Cross multiply
    33,897x = 51,283.50 × 51,283.50
  4. Step 4: Simplify right side
    33,897x = 2,629,997,372.25
  5. Step 5: Solve for x
    x = 2,629,997,372.25/33,897
  6. Step 6: Final answer
    x = 77,587.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.