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Finding the Third Proportional to 7,033.50 and 15,275.25

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Solution

The third proportional to 7,033.50 and 15,275.25 is: 33,174.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,033.50 : 15,275.25 = 15,275.25 : x
  2. Step 2: Convert to fraction form
    7,033.50/15,275.25 = 15,275.25/x
  3. Step 3: Cross multiply
    7,033.50x = 15,275.25 × 15,275.25
  4. Step 4: Simplify right side
    7,033.50x = 233,333,262.56
  5. Step 5: Solve for x
    x = 233,333,262.56/7,033.50
  6. Step 6: Final answer
    x = 33,174.56

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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.