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Finding the Third Proportional to 31,785 and 46,704

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Solution

The third proportional to 31,785 and 46,704 is: 68,625.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,785 : 46,704 = 46,704 : x
  2. Step 2: Convert to fraction form
    31,785/46,704 = 46,704/x
  3. Step 3: Cross multiply
    31,785x = 46,704 × 46,704
  4. Step 4: Simplify right side
    31,785x = 2,181,263,616
  5. Step 5: Solve for x
    x = 2,181,263,616/31,785
  6. Step 6: Final answer
    x = 68,625.57

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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.