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Finding the Third Proportional to 3,954.45 and 8,486.02

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Solution

The third proportional to 3,954.45 and 8,486.02 is: 18,210.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.45 : 8,486.02 = 8,486.02 : x
  2. Step 2: Convert to fraction form
    3,954.45/8,486.02 = 8,486.02/x
  3. Step 3: Cross multiply
    3,954.45x = 8,486.02 × 8,486.02
  4. Step 4: Simplify right side
    3,954.45x = 72,012,461.19
  5. Step 5: Solve for x
    x = 72,012,461.19/3,954.45
  6. Step 6: Final answer
    x = 18,210.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.