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Finding the Third Proportional to 33,273 and 71,878.50

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Solution

The third proportional to 33,273 and 71,878.50 is: 155,276.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,273 : 71,878.50 = 71,878.50 : x
  2. Step 2: Convert to fraction form
    33,273/71,878.50 = 71,878.50/x
  3. Step 3: Cross multiply
    33,273x = 71,878.50 × 71,878.50
  4. Step 4: Simplify right side
    33,273x = 5,166,518,762.25
  5. Step 5: Solve for x
    x = 5,166,518,762.25/33,273
  6. Step 6: Final answer
    x = 155,276.61

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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.