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Finding the Third Proportional to 35,270.44 and 75,393.28

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Solution

The third proportional to 35,270.44 and 75,393.28 is: 161,158.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,270.44 : 75,393.28 = 75,393.28 : x
  2. Step 2: Convert to fraction form
    35,270.44/75,393.28 = 75,393.28/x
  3. Step 3: Cross multiply
    35,270.44x = 75,393.28 × 75,393.28
  4. Step 4: Simplify right side
    35,270.44x = 5,684,146,857.64
  5. Step 5: Solve for x
    x = 5,684,146,857.64/35,270.44
  6. Step 6: Final answer
    x = 161,158.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.