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Finding the Third Proportional to 30,940.50 and 63,520.50

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Solution

The third proportional to 30,940.50 and 63,520.50 is: 130,406.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,940.50 : 63,520.50 = 63,520.50 : x
  2. Step 2: Convert to fraction form
    30,940.50/63,520.50 = 63,520.50/x
  3. Step 3: Cross multiply
    30,940.50x = 63,520.50 × 63,520.50
  4. Step 4: Simplify right side
    30,940.50x = 4,034,853,920.25
  5. Step 5: Solve for x
    x = 4,034,853,920.25/30,940.50
  6. Step 6: Final answer
    x = 130,406.88

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.