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Finding the Third Proportional to 35,128.69 and 41,689.69

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Solution

The third proportional to 35,128.69 and 41,689.69 is: 49,476.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,128.69 : 41,689.69 = 41,689.69 : x
  2. Step 2: Convert to fraction form
    35,128.69/41,689.69 = 41,689.69/x
  3. Step 3: Cross multiply
    35,128.69x = 41,689.69 × 41,689.69
  4. Step 4: Simplify right side
    35,128.69x = 1,738,030,043.85
  5. Step 5: Solve for x
    x = 1,738,030,043.85/35,128.69
  6. Step 6: Final answer
    x = 49,476.09

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These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.