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Finding the Third Proportional to 3,603 and 5,287

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Solution

The third proportional to 3,603 and 5,287 is: 7,758.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603 : 5,287 = 5,287 : x
  2. Step 2: Convert to fraction form
    3,603/5,287 = 5,287/x
  3. Step 3: Cross multiply
    3,603x = 5,287 × 5,287
  4. Step 4: Simplify right side
    3,603x = 27,952,369
  5. Step 5: Solve for x
    x = 27,952,369/3,603
  6. Step 6: Final answer
    x = 7,758.08

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Why These Related Problems?

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