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Finding the Third Proportional to 7,476.25 and 15,727.13

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Solution

The third proportional to 7,476.25 and 15,727.13 is: 33,083.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,476.25 : 15,727.13 = 15,727.13 : x
  2. Step 2: Convert to fraction form
    7,476.25/15,727.13 = 15,727.13/x
  3. Step 3: Cross multiply
    7,476.25x = 15,727.13 × 15,727.13
  4. Step 4: Simplify right side
    7,476.25x = 247,342,460.77
  5. Step 5: Solve for x
    x = 247,342,460.77/7,476.25
  6. Step 6: Final answer
    x = 33,083.76

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.