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Finding the Third Proportional to 6,232.50 and 13,378.50

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Solution

The third proportional to 6,232.50 and 13,378.50 is: 28,717.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.50 : 13,378.50 = 13,378.50 : x
  2. Step 2: Convert to fraction form
    6,232.50/13,378.50 = 13,378.50/x
  3. Step 3: Cross multiply
    6,232.50x = 13,378.50 × 13,378.50
  4. Step 4: Simplify right side
    6,232.50x = 178,984,262.25
  5. Step 5: Solve for x
    x = 178,984,262.25/6,232.50
  6. Step 6: Final answer
    x = 28,717.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.