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Finding the Third Proportional to 39,035.67 and 83,612.88

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Solution

The third proportional to 39,035.67 and 83,612.88 is: 179,095.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,035.67 : 83,612.88 = 83,612.88 : x
  2. Step 2: Convert to fraction form
    39,035.67/83,612.88 = 83,612.88/x
  3. Step 3: Cross multiply
    39,035.67x = 83,612.88 × 83,612.88
  4. Step 4: Simplify right side
    39,035.67x = 6,991,114,172.22
  5. Step 5: Solve for x
    x = 6,991,114,172.22/39,035.67
  6. Step 6: Final answer
    x = 179,095.53

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.