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Finding the Third Proportional to 5,470.75 and 11,931.38

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Solution

The third proportional to 5,470.75 and 11,931.38 is: 26,021.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.75 : 11,931.38 = 11,931.38 : x
  2. Step 2: Convert to fraction form
    5,470.75/11,931.38 = 11,931.38/x
  3. Step 3: Cross multiply
    5,470.75x = 11,931.38 × 11,931.38
  4. Step 4: Simplify right side
    5,470.75x = 142,357,709.39
  5. Step 5: Solve for x
    x = 142,357,709.39/5,470.75
  6. Step 6: Final answer
    x = 26,021.61

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.