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Finding the Third Proportional to 7,507.69 and 15,938.44

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Solution

The third proportional to 7,507.69 and 15,938.44 is: 33,836.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,507.69 : 15,938.44 = 15,938.44 : x
  2. Step 2: Convert to fraction form
    7,507.69/15,938.44 = 15,938.44/x
  3. Step 3: Cross multiply
    7,507.69x = 15,938.44 × 15,938.44
  4. Step 4: Simplify right side
    7,507.69x = 254,033,789.94
  5. Step 5: Solve for x
    x = 254,033,789.94/7,507.69
  6. Step 6: Final answer
    x = 33,836.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.