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Finding the Third Proportional to 7,212.38 and 15,653.25

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Solution

The third proportional to 7,212.38 and 15,653.25 is: 33,972.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,212.38 : 15,653.25 = 15,653.25 : x
  2. Step 2: Convert to fraction form
    7,212.38/15,653.25 = 15,653.25/x
  3. Step 3: Cross multiply
    7,212.38x = 15,653.25 × 15,653.25
  4. Step 4: Simplify right side
    7,212.38x = 245,024,235.56
  5. Step 5: Solve for x
    x = 245,024,235.56/7,212.38
  6. Step 6: Final answer
    x = 33,972.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.