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Finding the Third Proportional to 6,150.94 and 13,176.28

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Solution

The third proportional to 6,150.94 and 13,176.28 is: 28,225.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,150.94 : 13,176.28 = 13,176.28 : x
  2. Step 2: Convert to fraction form
    6,150.94/13,176.28 = 13,176.28/x
  3. Step 3: Cross multiply
    6,150.94x = 13,176.28 × 13,176.28
  4. Step 4: Simplify right side
    6,150.94x = 173,614,387.58
  5. Step 5: Solve for x
    x = 173,614,387.58/6,150.94
  6. Step 6: Final answer
    x = 28,225.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.