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Finding the Third Proportional to 4,238.58 and 6,173.72

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Solution

The third proportional to 4,238.58 and 6,173.72 is: 8,992.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,238.58 : 6,173.72 = 6,173.72 : x
  2. Step 2: Convert to fraction form
    4,238.58/6,173.72 = 6,173.72/x
  3. Step 3: Cross multiply
    4,238.58x = 6,173.72 × 6,173.72
  4. Step 4: Simplify right side
    4,238.58x = 38,114,803.20
  5. Step 5: Solve for x
    x = 38,114,803.20/4,238.58
  6. Step 6: Final answer
    x = 8,992.36

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.