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Finding the Third Proportional to 34,951.50 and 76,047

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Solution

The third proportional to 34,951.50 and 76,047 is: 165,462.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,951.50 : 76,047 = 76,047 : x
  2. Step 2: Convert to fraction form
    34,951.50/76,047 = 76,047/x
  3. Step 3: Cross multiply
    34,951.50x = 76,047 × 76,047
  4. Step 4: Simplify right side
    34,951.50x = 5,783,146,209
  5. Step 5: Solve for x
    x = 5,783,146,209/34,951.50
  6. Step 6: Final answer
    x = 165,462.03

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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.