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Finding the Third Proportional to 30,164 and 65,682

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Solution

The third proportional to 30,164 and 65,682 is: 143,022.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,164 : 65,682 = 65,682 : x
  2. Step 2: Convert to fraction form
    30,164/65,682 = 65,682/x
  3. Step 3: Cross multiply
    30,164x = 65,682 × 65,682
  4. Step 4: Simplify right side
    30,164x = 4,314,125,124
  5. Step 5: Solve for x
    x = 4,314,125,124/30,164
  6. Step 6: Final answer
    x = 143,022.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.