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Finding the Third Proportional to 30,751 and 46,341

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Solution

The third proportional to 30,751 and 46,341 is: 69,834.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,751 : 46,341 = 46,341 : x
  2. Step 2: Convert to fraction form
    30,751/46,341 = 46,341/x
  3. Step 3: Cross multiply
    30,751x = 46,341 × 46,341
  4. Step 4: Simplify right side
    30,751x = 2,147,488,281
  5. Step 5: Solve for x
    x = 2,147,488,281/30,751
  6. Step 6: Final answer
    x = 69,834.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.