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Finding the Third Proportional to 1,615 and 2,483.25

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Solution

The third proportional to 1,615 and 2,483.25 is: 3,818.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615 : 2,483.25 = 2,483.25 : x
  2. Step 2: Convert to fraction form
    1,615/2,483.25 = 2,483.25/x
  3. Step 3: Cross multiply
    1,615x = 2,483.25 × 2,483.25
  4. Step 4: Simplify right side
    1,615x = 6,166,530.56
  5. Step 5: Solve for x
    x = 6,166,530.56/1,615
  6. Step 6: Final answer
    x = 3,818.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.