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Finding the Third Proportional to 3,448.97 and 7,524.84

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Solution

The third proportional to 3,448.97 and 7,524.84 is: 16,417.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448.97 : 7,524.84 = 7,524.84 : x
  2. Step 2: Convert to fraction form
    3,448.97/7,524.84 = 7,524.84/x
  3. Step 3: Cross multiply
    3,448.97x = 7,524.84 × 7,524.84
  4. Step 4: Simplify right side
    3,448.97x = 56,623,273.46
  5. Step 5: Solve for x
    x = 56,623,273.46/3,448.97
  6. Step 6: Final answer
    x = 16,417.45

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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.