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Finding the Third Proportional to 31,400 and 46,138

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Solution

The third proportional to 31,400 and 46,138 is: 67,793.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,400 : 46,138 = 46,138 : x
  2. Step 2: Convert to fraction form
    31,400/46,138 = 46,138/x
  3. Step 3: Cross multiply
    31,400x = 46,138 × 46,138
  4. Step 4: Simplify right side
    31,400x = 2,128,715,044
  5. Step 5: Solve for x
    x = 2,128,715,044/31,400
  6. Step 6: Final answer
    x = 67,793.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.