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Finding the Third Proportional to 35,472.94 and 75,765.38

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Solution

The third proportional to 35,472.94 and 75,765.38 is: 161,824.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,472.94 : 75,765.38 = 75,765.38 : x
  2. Step 2: Convert to fraction form
    35,472.94/75,765.38 = 75,765.38/x
  3. Step 3: Cross multiply
    35,472.94x = 75,765.38 × 75,765.38
  4. Step 4: Simplify right side
    35,472.94x = 5,740,392,048.89
  5. Step 5: Solve for x
    x = 5,740,392,048.89/35,472.94
  6. Step 6: Final answer
    x = 161,824.55

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