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Finding the Third Proportional to 34,186.50 and 71,827.88

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Solution

The third proportional to 34,186.50 and 71,827.88 is: 150,914.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,186.50 : 71,827.88 = 71,827.88 : x
  2. Step 2: Convert to fraction form
    34,186.50/71,827.88 = 71,827.88/x
  3. Step 3: Cross multiply
    34,186.50x = 71,827.88 × 71,827.88
  4. Step 4: Simplify right side
    34,186.50x = 5,159,243,627.02
  5. Step 5: Solve for x
    x = 5,159,243,627.02/34,186.50
  6. Step 6: Final answer
    x = 150,914.65

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.