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Finding the Third Proportional to 41,402.39 and 65,664.42

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Solution

The third proportional to 41,402.39 and 65,664.42 is: 104,144.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,402.39 : 65,664.42 = 65,664.42 : x
  2. Step 2: Convert to fraction form
    41,402.39/65,664.42 = 65,664.42/x
  3. Step 3: Cross multiply
    41,402.39x = 65,664.42 × 65,664.42
  4. Step 4: Simplify right side
    41,402.39x = 4,311,816,300.18
  5. Step 5: Solve for x
    x = 4,311,816,300.18/41,402.39
  6. Step 6: Final answer
    x = 104,144.14

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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.