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Finding the Third Proportional to 35,470.50 and 76,167

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Solution

The third proportional to 35,470.50 and 76,167 is: 163,555.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,470.50 : 76,167 = 76,167 : x
  2. Step 2: Convert to fraction form
    35,470.50/76,167 = 76,167/x
  3. Step 3: Cross multiply
    35,470.50x = 76,167 × 76,167
  4. Step 4: Simplify right side
    35,470.50x = 5,801,411,889
  5. Step 5: Solve for x
    x = 5,801,411,889/35,470.50
  6. Step 6: Final answer
    x = 163,555.97

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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.