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Finding the Third Proportional to 16,029.46 and 35,077.43

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Solution

The third proportional to 16,029.46 and 35,077.43 is: 76,760.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,029.46 : 35,077.43 = 35,077.43 : x
  2. Step 2: Convert to fraction form
    16,029.46/35,077.43 = 35,077.43/x
  3. Step 3: Cross multiply
    16,029.46x = 35,077.43 × 35,077.43
  4. Step 4: Simplify right side
    16,029.46x = 1,230,426,073.48
  5. Step 5: Solve for x
    x = 1,230,426,073.48/16,029.46
  6. Step 6: Final answer
    x = 76,760.31

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.