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Finding the Third Proportional to 7,128 and 11,451.38

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Solution

The third proportional to 7,128 and 11,451.38 is: 18,397.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,128 : 11,451.38 = 11,451.38 : x
  2. Step 2: Convert to fraction form
    7,128/11,451.38 = 11,451.38/x
  3. Step 3: Cross multiply
    7,128x = 11,451.38 × 11,451.38
  4. Step 4: Simplify right side
    7,128x = 131,133,989.39
  5. Step 5: Solve for x
    x = 131,133,989.39/7,128
  6. Step 6: Final answer
    x = 18,397.02

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.