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Finding the Third Proportional to 46,233 and 63,689

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Solution

The third proportional to 46,233 and 63,689 is: 87,735.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,233 : 63,689 = 63,689 : x
  2. Step 2: Convert to fraction form
    46,233/63,689 = 63,689/x
  3. Step 3: Cross multiply
    46,233x = 63,689 × 63,689
  4. Step 4: Simplify right side
    46,233x = 4,056,288,721
  5. Step 5: Solve for x
    x = 4,056,288,721/46,233
  6. Step 6: Final answer
    x = 87,735.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.