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Finding the Third Proportional to 4,046.63 and 8,575.88

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Solution

The third proportional to 4,046.63 and 8,575.88 is: 18,174.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,046.63 : 8,575.88 = 8,575.88 : x
  2. Step 2: Convert to fraction form
    4,046.63/8,575.88 = 8,575.88/x
  3. Step 3: Cross multiply
    4,046.63x = 8,575.88 × 8,575.88
  4. Step 4: Simplify right side
    4,046.63x = 73,545,632.02
  5. Step 5: Solve for x
    x = 73,545,632.02/4,046.63
  6. Step 6: Final answer
    x = 18,174.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.