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Finding the Third Proportional to 31,104 and 46,656

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Solution

The third proportional to 31,104 and 46,656 is: 69,984

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,104 : 46,656 = 46,656 : x
  2. Step 2: Convert to fraction form
    31,104/46,656 = 46,656/x
  3. Step 3: Cross multiply
    31,104x = 46,656 × 46,656
  4. Step 4: Simplify right side
    31,104x = 2,176,782,336
  5. Step 5: Solve for x
    x = 2,176,782,336/31,104
  6. Step 6: Final answer
    x = 69,984

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.