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Finding the Third Proportional to 35,904.09 and 76,347.56

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Solution

The third proportional to 35,904.09 and 76,347.56 is: 162,347.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,904.09 : 76,347.56 = 76,347.56 : x
  2. Step 2: Convert to fraction form
    35,904.09/76,347.56 = 76,347.56/x
  3. Step 3: Cross multiply
    35,904.09x = 76,347.56 × 76,347.56
  4. Step 4: Simplify right side
    35,904.09x = 5,828,950,299.69
  5. Step 5: Solve for x
    x = 5,828,950,299.69/35,904.09
  6. Step 6: Final answer
    x = 162,347.79

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.