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Finding the Third Proportional to 2,865.22 and 4,559.10

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Solution

The third proportional to 2,865.22 and 4,559.10 is: 7,254.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.22 : 4,559.10 = 4,559.10 : x
  2. Step 2: Convert to fraction form
    2,865.22/4,559.10 = 4,559.10/x
  3. Step 3: Cross multiply
    2,865.22x = 4,559.10 × 4,559.10
  4. Step 4: Simplify right side
    2,865.22x = 20,785,371.44
  5. Step 5: Solve for x
    x = 20,785,371.44/2,865.22
  6. Step 6: Final answer
    x = 7,254.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.