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Finding the Third Proportional to 3,530.25 and 5,187.38

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Solution

The third proportional to 3,530.25 and 5,187.38 is: 7,622.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.25 : 5,187.38 = 5,187.38 : x
  2. Step 2: Convert to fraction form
    3,530.25/5,187.38 = 5,187.38/x
  3. Step 3: Cross multiply
    3,530.25x = 5,187.38 × 5,187.38
  4. Step 4: Simplify right side
    3,530.25x = 26,908,859.39
  5. Step 5: Solve for x
    x = 26,908,859.39/3,530.25
  6. Step 6: Final answer
    x = 7,622.37

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.