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Finding the Third Proportional to 29,145.94 and 46,346.34

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Solution

The third proportional to 29,145.94 and 46,346.34 is: 73,697.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,145.94 : 46,346.34 = 46,346.34 : x
  2. Step 2: Convert to fraction form
    29,145.94/46,346.34 = 46,346.34/x
  3. Step 3: Cross multiply
    29,145.94x = 46,346.34 × 46,346.34
  4. Step 4: Simplify right side
    29,145.94x = 2,147,983,578.99
  5. Step 5: Solve for x
    x = 2,147,983,578.99/29,145.94
  6. Step 6: Final answer
    x = 73,697.53

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.