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Finding the Third Proportional to 37,641 and 80,715.75

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Solution

The third proportional to 37,641 and 80,715.75 is: 173,083.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,641 : 80,715.75 = 80,715.75 : x
  2. Step 2: Convert to fraction form
    37,641/80,715.75 = 80,715.75/x
  3. Step 3: Cross multiply
    37,641x = 80,715.75 × 80,715.75
  4. Step 4: Simplify right side
    37,641x = 6,515,032,298.06
  5. Step 5: Solve for x
    x = 6,515,032,298.06/37,641
  6. Step 6: Final answer
    x = 173,083.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.