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Finding the Third Proportional to 46,690 and 61,285

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Solution

The third proportional to 46,690 and 61,285 is: 80,442.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,690 : 61,285 = 61,285 : x
  2. Step 2: Convert to fraction form
    46,690/61,285 = 61,285/x
  3. Step 3: Cross multiply
    46,690x = 61,285 × 61,285
  4. Step 4: Simplify right side
    46,690x = 3,755,851,225
  5. Step 5: Solve for x
    x = 3,755,851,225/46,690
  6. Step 6: Final answer
    x = 80,442.31

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.