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Finding the Third Proportional to 30,738 and 63,652

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Solution

The third proportional to 30,738 and 63,652 is: 131,810.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,738 : 63,652 = 63,652 : x
  2. Step 2: Convert to fraction form
    30,738/63,652 = 63,652/x
  3. Step 3: Cross multiply
    30,738x = 63,652 × 63,652
  4. Step 4: Simplify right side
    30,738x = 4,051,577,104
  5. Step 5: Solve for x
    x = 4,051,577,104/30,738
  6. Step 6: Final answer
    x = 131,810.04

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.