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Finding the Third Proportional to 30,782 and 66,424

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Solution

The third proportional to 30,782 and 66,424 is: 143,335.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,782 : 66,424 = 66,424 : x
  2. Step 2: Convert to fraction form
    30,782/66,424 = 66,424/x
  3. Step 3: Cross multiply
    30,782x = 66,424 × 66,424
  4. Step 4: Simplify right side
    30,782x = 4,412,147,776
  5. Step 5: Solve for x
    x = 4,412,147,776/30,782
  6. Step 6: Final answer
    x = 143,335.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.