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Finding the Third Proportional to 30,722 and 46,107

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Solution

The third proportional to 30,722 and 46,107 is: 69,196.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,722 : 46,107 = 46,107 : x
  2. Step 2: Convert to fraction form
    30,722/46,107 = 46,107/x
  3. Step 3: Cross multiply
    30,722x = 46,107 × 46,107
  4. Step 4: Simplify right side
    30,722x = 2,125,855,449
  5. Step 5: Solve for x
    x = 2,125,855,449/30,722
  6. Step 6: Final answer
    x = 69,196.52

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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.