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Finding the Third Proportional to 3,028.88 and 6,535.31

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Solution

The third proportional to 3,028.88 and 6,535.31 is: 14,101.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,028.88 : 6,535.31 = 6,535.31 : x
  2. Step 2: Convert to fraction form
    3,028.88/6,535.31 = 6,535.31/x
  3. Step 3: Cross multiply
    3,028.88x = 6,535.31 × 6,535.31
  4. Step 4: Simplify right side
    3,028.88x = 42,710,309.47
  5. Step 5: Solve for x
    x = 42,710,309.47/3,028.88
  6. Step 6: Final answer
    x = 14,101.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.