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Finding the Third Proportional to 30,782 and 66,484

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Solution

The third proportional to 30,782 and 66,484 is: 143,594.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,782 : 66,484 = 66,484 : x
  2. Step 2: Convert to fraction form
    30,782/66,484 = 66,484/x
  3. Step 3: Cross multiply
    30,782x = 66,484 × 66,484
  4. Step 4: Simplify right side
    30,782x = 4,420,122,256
  5. Step 5: Solve for x
    x = 4,420,122,256/30,782
  6. Step 6: Final answer
    x = 143,594.38

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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.