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Finding the Third Proportional to 30,916 and 46,963

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Solution

The third proportional to 30,916 and 46,963 is: 71,339.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,916 : 46,963 = 46,963 : x
  2. Step 2: Convert to fraction form
    30,916/46,963 = 46,963/x
  3. Step 3: Cross multiply
    30,916x = 46,963 × 46,963
  4. Step 4: Simplify right side
    30,916x = 2,205,523,369
  5. Step 5: Solve for x
    x = 2,205,523,369/30,916
  6. Step 6: Final answer
    x = 71,339.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.