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Finding the Third Proportional to 46,013 and 69,251

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Solution

The third proportional to 46,013 and 69,251 is: 104,224.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,013 : 69,251 = 69,251 : x
  2. Step 2: Convert to fraction form
    46,013/69,251 = 69,251/x
  3. Step 3: Cross multiply
    46,013x = 69,251 × 69,251
  4. Step 4: Simplify right side
    46,013x = 4,795,701,001
  5. Step 5: Solve for x
    x = 4,795,701,001/46,013
  6. Step 6: Final answer
    x = 104,224.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.