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Finding the Third Proportional to 29,013 and 39,145

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Solution

The third proportional to 29,013 and 39,145 is: 52,815.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,013 : 39,145 = 39,145 : x
  2. Step 2: Convert to fraction form
    29,013/39,145 = 39,145/x
  3. Step 3: Cross multiply
    29,013x = 39,145 × 39,145
  4. Step 4: Simplify right side
    29,013x = 1,532,331,025
  5. Step 5: Solve for x
    x = 1,532,331,025/29,013
  6. Step 6: Final answer
    x = 52,815.33

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.