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Finding the Third Proportional to 29,478.94 and 45,175.22

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Solution

The third proportional to 29,478.94 and 45,175.22 is: 69,229.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,478.94 : 45,175.22 = 45,175.22 : x
  2. Step 2: Convert to fraction form
    29,478.94/45,175.22 = 45,175.22/x
  3. Step 3: Cross multiply
    29,478.94x = 45,175.22 × 45,175.22
  4. Step 4: Simplify right side
    29,478.94x = 2,040,800,389.11
  5. Step 5: Solve for x
    x = 2,040,800,389.11/29,478.94
  6. Step 6: Final answer
    x = 69,229.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.