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Finding the Third Proportional to 32,845.50 and 52,076.25

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Solution

The third proportional to 32,845.50 and 52,076.25 is: 82,566.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,845.50 : 52,076.25 = 52,076.25 : x
  2. Step 2: Convert to fraction form
    32,845.50/52,076.25 = 52,076.25/x
  3. Step 3: Cross multiply
    32,845.50x = 52,076.25 × 52,076.25
  4. Step 4: Simplify right side
    32,845.50x = 2,711,935,814.06
  5. Step 5: Solve for x
    x = 2,711,935,814.06/32,845.50
  6. Step 6: Final answer
    x = 82,566.43

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.