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Finding the Third Proportional to 46,671 and 70,341

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Solution

The third proportional to 46,671 and 70,341 is: 106,015.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,671 : 70,341 = 70,341 : x
  2. Step 2: Convert to fraction form
    46,671/70,341 = 70,341/x
  3. Step 3: Cross multiply
    46,671x = 70,341 × 70,341
  4. Step 4: Simplify right side
    46,671x = 4,947,856,281
  5. Step 5: Solve for x
    x = 4,947,856,281/46,671
  6. Step 6: Final answer
    x = 106,015.65

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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.