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Finding the Third Proportional to 3,489.96 and 7,607.46

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Solution

The third proportional to 3,489.96 and 7,607.46 is: 16,582.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.96 : 7,607.46 = 7,607.46 : x
  2. Step 2: Convert to fraction form
    3,489.96/7,607.46 = 7,607.46/x
  3. Step 3: Cross multiply
    3,489.96x = 7,607.46 × 7,607.46
  4. Step 4: Simplify right side
    3,489.96x = 57,873,461.92
  5. Step 5: Solve for x
    x = 57,873,461.92/3,489.96
  6. Step 6: Final answer
    x = 16,582.84

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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.