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Finding the Third Proportional to 16,374.75 and 35,747.25

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Solution

The third proportional to 16,374.75 and 35,747.25 is: 78,038.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,374.75 : 35,747.25 = 35,747.25 : x
  2. Step 2: Convert to fraction form
    16,374.75/35,747.25 = 35,747.25/x
  3. Step 3: Cross multiply
    16,374.75x = 35,747.25 × 35,747.25
  4. Step 4: Simplify right side
    16,374.75x = 1,277,865,882.56
  5. Step 5: Solve for x
    x = 1,277,865,882.56/16,374.75
  6. Step 6: Final answer
    x = 78,038.80

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.