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Finding the Third Proportional to 16,017.66 and 35,173.97

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Solution

The third proportional to 16,017.66 and 35,173.97 is: 77,240.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,017.66 : 35,173.97 = 35,173.97 : x
  2. Step 2: Convert to fraction form
    16,017.66/35,173.97 = 35,173.97/x
  3. Step 3: Cross multiply
    16,017.66x = 35,173.97 × 35,173.97
  4. Step 4: Simplify right side
    16,017.66x = 1,237,208,077.63
  5. Step 5: Solve for x
    x = 1,237,208,077.63/16,017.66
  6. Step 6: Final answer
    x = 77,240.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.