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Finding the Third Proportional to 7,216.38 and 15,507.28

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Solution

The third proportional to 7,216.38 and 15,507.28 is: 33,323.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,216.38 : 15,507.28 = 15,507.28 : x
  2. Step 2: Convert to fraction form
    7,216.38/15,507.28 = 15,507.28/x
  3. Step 3: Cross multiply
    7,216.38x = 15,507.28 × 15,507.28
  4. Step 4: Simplify right side
    7,216.38x = 240,475,771.77
  5. Step 5: Solve for x
    x = 240,475,771.77/7,216.38
  6. Step 6: Final answer
    x = 33,323.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.