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Finding the Third Proportional to 1,139.11 and 2,451.28

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Solution

The third proportional to 1,139.11 and 2,451.28 is: 5,274.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.11 : 2,451.28 = 2,451.28 : x
  2. Step 2: Convert to fraction form
    1,139.11/2,451.28 = 2,451.28/x
  3. Step 3: Cross multiply
    1,139.11x = 2,451.28 × 2,451.28
  4. Step 4: Simplify right side
    1,139.11x = 6,008,779.77
  5. Step 5: Solve for x
    x = 6,008,779.77/1,139.11
  6. Step 6: Final answer
    x = 5,274.98

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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.