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Finding the Third Proportional to 4,216.43 and 9,252.98

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Solution

The third proportional to 4,216.43 and 9,252.98 is: 20,305.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,216.43 : 9,252.98 = 9,252.98 : x
  2. Step 2: Convert to fraction form
    4,216.43/9,252.98 = 9,252.98/x
  3. Step 3: Cross multiply
    4,216.43x = 9,252.98 × 9,252.98
  4. Step 4: Simplify right side
    4,216.43x = 85,617,719.84
  5. Step 5: Solve for x
    x = 85,617,719.84/4,216.43
  6. Step 6: Final answer
    x = 20,305.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.