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Finding the Third Proportional to 1,499.29 and 3,216.43

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Solution

The third proportional to 1,499.29 and 3,216.43 is: 6,900.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.29 : 3,216.43 = 3,216.43 : x
  2. Step 2: Convert to fraction form
    1,499.29/3,216.43 = 3,216.43/x
  3. Step 3: Cross multiply
    1,499.29x = 3,216.43 × 3,216.43
  4. Step 4: Simplify right side
    1,499.29x = 10,345,407.37
  5. Step 5: Solve for x
    x = 10,345,407.37/1,499.29
  6. Step 6: Final answer
    x = 6,900.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.