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Finding the Third Proportional to 46,884 and 62,629

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Solution

The third proportional to 46,884 and 62,629 is: 83,661.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,884 : 62,629 = 62,629 : x
  2. Step 2: Convert to fraction form
    46,884/62,629 = 62,629/x
  3. Step 3: Cross multiply
    46,884x = 62,629 × 62,629
  4. Step 4: Simplify right side
    46,884x = 3,922,391,641
  5. Step 5: Solve for x
    x = 3,922,391,641/46,884
  6. Step 6: Final answer
    x = 83,661.63

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.