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Finding the Third Proportional to 7,205.63 and 11,127.38

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Solution

The third proportional to 7,205.63 and 11,127.38 is: 17,183.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.63 : 11,127.38 = 11,127.38 : x
  2. Step 2: Convert to fraction form
    7,205.63/11,127.38 = 11,127.38/x
  3. Step 3: Cross multiply
    7,205.63x = 11,127.38 × 11,127.38
  4. Step 4: Simplify right side
    7,205.63x = 123,818,474.39
  5. Step 5: Solve for x
    x = 123,818,474.39/7,205.63
  6. Step 6: Final answer
    x = 17,183.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.