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Finding the Third Proportional to 931.18 and 2,028.48

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Solution

The third proportional to 931.18 and 2,028.48 is: 4,418.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.18 : 2,028.48 = 2,028.48 : x
  2. Step 2: Convert to fraction form
    931.18/2,028.48 = 2,028.48/x
  3. Step 3: Cross multiply
    931.18x = 2,028.48 × 2,028.48
  4. Step 4: Simplify right side
    931.18x = 4,114,733.01
  5. Step 5: Solve for x
    x = 4,114,733.01/931.18
  6. Step 6: Final answer
    x = 4,418.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.