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Finding the Third Proportional to 23,007.38 and 36,698.06

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Solution

The third proportional to 23,007.38 and 36,698.06 is: 58,535.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,007.38 : 36,698.06 = 36,698.06 : x
  2. Step 2: Convert to fraction form
    23,007.38/36,698.06 = 36,698.06/x
  3. Step 3: Cross multiply
    23,007.38x = 36,698.06 × 36,698.06
  4. Step 4: Simplify right side
    23,007.38x = 1,346,747,791.25
  5. Step 5: Solve for x
    x = 1,346,747,791.25/23,007.38
  6. Step 6: Final answer
    x = 58,535.48

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.