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Finding the Third Proportional to 41,689.69 and 65,199.94

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Solution

The third proportional to 41,689.69 and 65,199.94 is: 101,968.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,689.69 : 65,199.94 = 65,199.94 : x
  2. Step 2: Convert to fraction form
    41,689.69/65,199.94 = 65,199.94/x
  3. Step 3: Cross multiply
    41,689.69x = 65,199.94 × 65,199.94
  4. Step 4: Simplify right side
    41,689.69x = 4,251,031,850.00
  5. Step 5: Solve for x
    x = 4,251,031,850.00/41,689.69
  6. Step 6: Final answer
    x = 101,968.43

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.