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Finding the Third Proportional to 46,134 and 58,950

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Solution

The third proportional to 46,134 and 58,950 is: 75,326.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,134 : 58,950 = 58,950 : x
  2. Step 2: Convert to fraction form
    46,134/58,950 = 58,950/x
  3. Step 3: Cross multiply
    46,134x = 58,950 × 58,950
  4. Step 4: Simplify right side
    46,134x = 3,475,102,500
  5. Step 5: Solve for x
    x = 3,475,102,500/46,134
  6. Step 6: Final answer
    x = 75,326.28

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.