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Finding the Third Proportional to 3,603.25 and 7,384.25

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Solution

The third proportional to 3,603.25 and 7,384.25 is: 15,132.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603.25 : 7,384.25 = 7,384.25 : x
  2. Step 2: Convert to fraction form
    3,603.25/7,384.25 = 7,384.25/x
  3. Step 3: Cross multiply
    3,603.25x = 7,384.25 × 7,384.25
  4. Step 4: Simplify right side
    3,603.25x = 54,527,148.06
  5. Step 5: Solve for x
    x = 54,527,148.06/3,603.25
  6. Step 6: Final answer
    x = 15,132.77

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.