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Finding the Third Proportional to 37,319 and 80,413

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Solution

The third proportional to 37,319 and 80,413 is: 173,269.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,319 : 80,413 = 80,413 : x
  2. Step 2: Convert to fraction form
    37,319/80,413 = 80,413/x
  3. Step 3: Cross multiply
    37,319x = 80,413 × 80,413
  4. Step 4: Simplify right side
    37,319x = 6,466,250,569
  5. Step 5: Solve for x
    x = 6,466,250,569/37,319
  6. Step 6: Final answer
    x = 173,269.66

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.