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Finding the Third Proportional to 30,876.50 and 63,209.50

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Solution

The third proportional to 30,876.50 and 63,209.50 is: 129,400.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,876.50 : 63,209.50 = 63,209.50 : x
  2. Step 2: Convert to fraction form
    30,876.50/63,209.50 = 63,209.50/x
  3. Step 3: Cross multiply
    30,876.50x = 63,209.50 × 63,209.50
  4. Step 4: Simplify right side
    30,876.50x = 3,995,440,890.25
  5. Step 5: Solve for x
    x = 3,995,440,890.25/30,876.50
  6. Step 6: Final answer
    x = 129,400.71

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