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Finding the Third Proportional to 13,188.50 and 28,825

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Solution

The third proportional to 13,188.50 and 28,825 is: 63,000.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,188.50 : 28,825 = 28,825 : x
  2. Step 2: Convert to fraction form
    13,188.50/28,825 = 28,825/x
  3. Step 3: Cross multiply
    13,188.50x = 28,825 × 28,825
  4. Step 4: Simplify right side
    13,188.50x = 830,880,625
  5. Step 5: Solve for x
    x = 830,880,625/13,188.50
  6. Step 6: Final answer
    x = 63,000.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.