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Finding the Third Proportional to 6,256.50 and 9,366.19

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Solution

The third proportional to 6,256.50 and 9,366.19 is: 14,021.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,256.50 : 9,366.19 = 9,366.19 : x
  2. Step 2: Convert to fraction form
    6,256.50/9,366.19 = 9,366.19/x
  3. Step 3: Cross multiply
    6,256.50x = 9,366.19 × 9,366.19
  4. Step 4: Simplify right side
    6,256.50x = 87,725,468.29
  5. Step 5: Solve for x
    x = 87,725,468.29/6,256.50
  6. Step 6: Final answer
    x = 14,021.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.