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Finding the Third Proportional to 32,486.06 and 36,085.50

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Solution

The third proportional to 32,486.06 and 36,085.50 is: 40,083.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,486.06 : 36,085.50 = 36,085.50 : x
  2. Step 2: Convert to fraction form
    32,486.06/36,085.50 = 36,085.50/x
  3. Step 3: Cross multiply
    32,486.06x = 36,085.50 × 36,085.50
  4. Step 4: Simplify right side
    32,486.06x = 1,302,163,310.25
  5. Step 5: Solve for x
    x = 1,302,163,310.25/32,486.06
  6. Step 6: Final answer
    x = 40,083.75

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.