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Finding the Third Proportional to 9,313.31 and 19,036.69

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Solution

The third proportional to 9,313.31 and 19,036.69 is: 38,911.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313.31 : 19,036.69 = 19,036.69 : x
  2. Step 2: Convert to fraction form
    9,313.31/19,036.69 = 19,036.69/x
  3. Step 3: Cross multiply
    9,313.31x = 19,036.69 × 19,036.69
  4. Step 4: Simplify right side
    9,313.31x = 362,395,470.97
  5. Step 5: Solve for x
    x = 362,395,470.97/9,313.31
  6. Step 6: Final answer
    x = 38,911.55

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.