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Finding the Third Proportional to 46,696 and 62,913

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Solution

The third proportional to 46,696 and 62,913 is: 84,761.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,696 : 62,913 = 62,913 : x
  2. Step 2: Convert to fraction form
    46,696/62,913 = 62,913/x
  3. Step 3: Cross multiply
    46,696x = 62,913 × 62,913
  4. Step 4: Simplify right side
    46,696x = 3,958,045,569
  5. Step 5: Solve for x
    x = 3,958,045,569/46,696
  6. Step 6: Final answer
    x = 84,761.98

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.