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Finding the Third Proportional to 3,653.44 and 7,947.28

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Solution

The third proportional to 3,653.44 and 7,947.28 is: 17,287.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.44 : 7,947.28 = 7,947.28 : x
  2. Step 2: Convert to fraction form
    3,653.44/7,947.28 = 7,947.28/x
  3. Step 3: Cross multiply
    3,653.44x = 7,947.28 × 7,947.28
  4. Step 4: Simplify right side
    3,653.44x = 63,159,279.27
  5. Step 5: Solve for x
    x = 63,159,279.27/3,653.44
  6. Step 6: Final answer
    x = 17,287.63

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Why These Related Problems?

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