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Finding the Third Proportional to 4,174.88 and 8,894.81

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Solution

The third proportional to 4,174.88 and 8,894.81 is: 18,950.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.88 : 8,894.81 = 8,894.81 : x
  2. Step 2: Convert to fraction form
    4,174.88/8,894.81 = 8,894.81/x
  3. Step 3: Cross multiply
    4,174.88x = 8,894.81 × 8,894.81
  4. Step 4: Simplify right side
    4,174.88x = 79,117,689.41
  5. Step 5: Solve for x
    x = 79,117,689.41/4,174.88
  6. Step 6: Final answer
    x = 18,950.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.