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Finding the Third Proportional to 1,028 and 2,184.13

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Solution

The third proportional to 1,028 and 2,184.13 is: 4,640.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028 : 2,184.13 = 2,184.13 : x
  2. Step 2: Convert to fraction form
    1,028/2,184.13 = 2,184.13/x
  3. Step 3: Cross multiply
    1,028x = 2,184.13 × 2,184.13
  4. Step 4: Simplify right side
    1,028x = 4,770,402.02
  5. Step 5: Solve for x
    x = 4,770,402.02/1,028
  6. Step 6: Final answer
    x = 4,640.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.