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Finding the Third Proportional to 31,812 and 46,623

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Solution

The third proportional to 31,812 and 46,623 is: 68,329.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,812 : 46,623 = 46,623 : x
  2. Step 2: Convert to fraction form
    31,812/46,623 = 46,623/x
  3. Step 3: Cross multiply
    31,812x = 46,623 × 46,623
  4. Step 4: Simplify right side
    31,812x = 2,173,704,129
  5. Step 5: Solve for x
    x = 2,173,704,129/31,812
  6. Step 6: Final answer
    x = 68,329.69

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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.