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Finding the Third Proportional to 3,444.75 and 7,461.56

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Solution

The third proportional to 3,444.75 and 7,461.56 is: 16,162.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,444.75 : 7,461.56 = 7,461.56 : x
  2. Step 2: Convert to fraction form
    3,444.75/7,461.56 = 7,461.56/x
  3. Step 3: Cross multiply
    3,444.75x = 7,461.56 × 7,461.56
  4. Step 4: Simplify right side
    3,444.75x = 55,674,914.94
  5. Step 5: Solve for x
    x = 55,674,914.94/3,444.75
  6. Step 6: Final answer
    x = 16,162.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.