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Finding the Third Proportional to 30,929 and 46,529

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Solution

The third proportional to 30,929 and 46,529 is: 69,997.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,929 : 46,529 = 46,529 : x
  2. Step 2: Convert to fraction form
    30,929/46,529 = 46,529/x
  3. Step 3: Cross multiply
    30,929x = 46,529 × 46,529
  4. Step 4: Simplify right side
    30,929x = 2,164,947,841
  5. Step 5: Solve for x
    x = 2,164,947,841/30,929
  6. Step 6: Final answer
    x = 69,997.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.