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Finding the Third Proportional to 16,629.75 and 35,897.25

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Solution

The third proportional to 16,629.75 and 35,897.25 is: 77,488.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,629.75 : 35,897.25 = 35,897.25 : x
  2. Step 2: Convert to fraction form
    16,629.75/35,897.25 = 35,897.25/x
  3. Step 3: Cross multiply
    16,629.75x = 35,897.25 × 35,897.25
  4. Step 4: Simplify right side
    16,629.75x = 1,288,612,557.56
  5. Step 5: Solve for x
    x = 1,288,612,557.56/16,629.75
  6. Step 6: Final answer
    x = 77,488.39

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.