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Finding the Third Proportional to 4,492.97 and 9,206.16

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Solution

The third proportional to 4,492.97 and 9,206.16 is: 18,863.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492.97 : 9,206.16 = 9,206.16 : x
  2. Step 2: Convert to fraction form
    4,492.97/9,206.16 = 9,206.16/x
  3. Step 3: Cross multiply
    4,492.97x = 9,206.16 × 9,206.16
  4. Step 4: Simplify right side
    4,492.97x = 84,753,312.90
  5. Step 5: Solve for x
    x = 84,753,312.90/4,492.97
  6. Step 6: Final answer
    x = 18,863.54

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.