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Finding the Third Proportional to 7,790.63 and 11,134.13

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Solution

The third proportional to 7,790.63 and 11,134.13 is: 15,912.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,790.63 : 11,134.13 = 11,134.13 : x
  2. Step 2: Convert to fraction form
    7,790.63/11,134.13 = 11,134.13/x
  3. Step 3: Cross multiply
    7,790.63x = 11,134.13 × 11,134.13
  4. Step 4: Simplify right side
    7,790.63x = 123,968,739.52
  5. Step 5: Solve for x
    x = 123,968,739.52/7,790.63
  6. Step 6: Final answer
    x = 15,912.55

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.