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Finding the Third Proportional to 6,028 and 6,652

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Solution

The third proportional to 6,028 and 6,652 is: 7,340.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,028 : 6,652 = 6,652 : x
  2. Step 2: Convert to fraction form
    6,028/6,652 = 6,652/x
  3. Step 3: Cross multiply
    6,028x = 6,652 × 6,652
  4. Step 4: Simplify right side
    6,028x = 44,249,104
  5. Step 5: Solve for x
    x = 44,249,104/6,028
  6. Step 6: Final answer
    x = 7,340.59

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.