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Finding the Third Proportional to 3,530 and 4,791

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Solution

The third proportional to 3,530 and 4,791 is: 6,502.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530 : 4,791 = 4,791 : x
  2. Step 2: Convert to fraction form
    3,530/4,791 = 4,791/x
  3. Step 3: Cross multiply
    3,530x = 4,791 × 4,791
  4. Step 4: Simplify right side
    3,530x = 22,953,681
  5. Step 5: Solve for x
    x = 22,953,681/3,530
  6. Step 6: Final answer
    x = 6,502.46

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.