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Finding the Third Proportional to 32,927 and 52,306.50

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Solution

The third proportional to 32,927 and 52,306.50 is: 83,091.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,927 : 52,306.50 = 52,306.50 : x
  2. Step 2: Convert to fraction form
    32,927/52,306.50 = 52,306.50/x
  3. Step 3: Cross multiply
    32,927x = 52,306.50 × 52,306.50
  4. Step 4: Simplify right side
    32,927x = 2,735,969,942.25
  5. Step 5: Solve for x
    x = 2,735,969,942.25/32,927
  6. Step 6: Final answer
    x = 83,091.99

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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.