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Finding the Third Proportional to 34,905.94 and 75,346.45

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Solution

The third proportional to 34,905.94 and 75,346.45 is: 162,639.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,905.94 : 75,346.45 = 75,346.45 : x
  2. Step 2: Convert to fraction form
    34,905.94/75,346.45 = 75,346.45/x
  3. Step 3: Cross multiply
    34,905.94x = 75,346.45 × 75,346.45
  4. Step 4: Simplify right side
    34,905.94x = 5,677,087,998.52
  5. Step 5: Solve for x
    x = 5,677,087,998.52/34,905.94
  6. Step 6: Final answer
    x = 162,639.61

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.