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Finding the Third Proportional to 7,208.25 and 15,982.13

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Solution

The third proportional to 7,208.25 and 15,982.13 is: 35,435.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,208.25 : 15,982.13 = 15,982.13 : x
  2. Step 2: Convert to fraction form
    7,208.25/15,982.13 = 15,982.13/x
  3. Step 3: Cross multiply
    7,208.25x = 15,982.13 × 15,982.13
  4. Step 4: Simplify right side
    7,208.25x = 255,428,319.52
  5. Step 5: Solve for x
    x = 255,428,319.52/7,208.25
  6. Step 6: Final answer
    x = 35,435.55

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.