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Finding the Third Proportional to 7,446.62 and 16,249.68

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Solution

The third proportional to 7,446.62 and 16,249.68 is: 35,459.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,446.62 : 16,249.68 = 16,249.68 : x
  2. Step 2: Convert to fraction form
    7,446.62/16,249.68 = 16,249.68/x
  3. Step 3: Cross multiply
    7,446.62x = 16,249.68 × 16,249.68
  4. Step 4: Simplify right side
    7,446.62x = 264,051,963.00
  5. Step 5: Solve for x
    x = 264,051,963.00/7,446.62
  6. Step 6: Final answer
    x = 35,459.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.