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Finding the Third Proportional to 29,756.63 and 39,491.44

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Solution

The third proportional to 29,756.63 and 39,491.44 is: 52,410.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,756.63 : 39,491.44 = 39,491.44 : x
  2. Step 2: Convert to fraction form
    29,756.63/39,491.44 = 39,491.44/x
  3. Step 3: Cross multiply
    29,756.63x = 39,491.44 × 39,491.44
  4. Step 4: Simplify right side
    29,756.63x = 1,559,573,635.82
  5. Step 5: Solve for x
    x = 1,559,573,635.82/29,756.63
  6. Step 6: Final answer
    x = 52,410.97

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.